Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Feed/ChannelFeed.php on line 104
Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Feed/ChannelFeed.php on line 109
Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Request/WebResponse.php on line 80
Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Request/WebResponse.php on line 80
Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Request/WebResponse.php on line 80
Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Request/WebResponse.php on line 80 https://qclab.korea.ac.kr/QCLab/index.php?action=history&feed=atom&title=Tutorial%3A_Quantum_Theory_of_MeasurementTutorial: Quantum Theory of Measurement - Revision history2025-12-20T03:58:51ZRevision history for this page on the wikiMediaWiki 1.43.0 Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627 https://qclab.korea.ac.kr/QCLab/index.php?title=Tutorial:_Quantum_Theory_of_Measurement&diff=2447&oldid=prevMahnsoo.choi at 07:18, 14 May 20192019-05-14T07:18:16Z<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:18, 14 May 2019</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l6">Line 6:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Unlike in classical mechanics, measurement is highly non-trivial in quantum mechanics as one can see from the hypothesis of wave function collapse. Even more serious is the fundamental limit due to the uncertainty principle, which cannot be beat by however advanced technical instruments. In this tutorial, we introduce the basic principle and formulation of measurement in quantum mechanics, and discuss several quantum-enhanced methods for precision measurement to overcome the so-called standard quantum limit (SQL) while not violating the uncertainty principle. Examples are taken from solid-state qubit systems to illustrate the ideas of quantum non-demolition measurement (QND), the entanglement-enhanced precision measurement, the weak measurement, and so on.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Unlike in classical mechanics, measurement is highly non-trivial in quantum mechanics as one can see from the hypothesis of wave function collapse. Even more serious is the fundamental limit due to the uncertainty principle, which cannot be beat by however advanced technical instruments. In this tutorial, we introduce the basic principle and formulation of measurement in quantum mechanics, and discuss several quantum-enhanced methods for precision measurement to overcome the so-called standard quantum limit (SQL) while not violating the uncertainty principle. Examples are taken from solid-state qubit systems to illustrate the ideas of quantum non-demolition measurement (QND), the entanglement-enhanced precision measurement, the weak measurement, and so on.</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">{{Media/Button|Choi2019c.pdf|Talk slides}}</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Seminars]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Seminars]]</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Condensed Matter Seminars]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Condensed Matter Seminars]]</div></td></tr>
</table>Mahnsoo.choi Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581 https://qclab.korea.ac.kr/QCLab/index.php?title=Tutorial:_Quantum_Theory_of_Measurement&diff=2439&oldid=prevMahnsoo.choi at 23:26, 28 April 20192019-04-28T23:26:27Z<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:26, 28 April 2019</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td>
<td colspan="2" class="diff-lineno">Line 3:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Date: Wednesday May 08, 2019 05:00pm</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Date: Wednesday May 08, 2019 05:00pm</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Place: Jungho Seminar Room</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Place: Jungho Seminar Room</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Unlike in classical mechanics, measurement is highly non-trivial in quantum mechanics as one can see from the hypothesis of wave function collapse. Even more serious is the fundamental limit due to the uncertainty principle, which cannot be beat by however advanced technical instruments. In this tutorial, we introduce the basic principle and formulation of measurement in quantum mechanics, and discuss several quantum-enhanced methods for precision measurement to overcome the so-called standard quantum limit (SQL) while not violating the uncertainty principle. Examples are taken from solid-state qubit systems to illustrate the ideas of quantum non-demolition measurement (QND), the entanglement-enhanced precision measurement, the weak measurement, and so on.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Unlike in classical mechanics, measurement is highly non-trivial in quantum mechanics as one can see from the hypothesis of wave function collapse. Even more serious is the fundamental limit due to the uncertainty principle, which cannot be beat by however advanced technical instruments. In this tutorial, we introduce the basic principle and formulation of measurement in quantum mechanics, and discuss several quantum-enhanced methods for precision measurement to overcome the so-called standard quantum limit (SQL) while not violating the uncertainty principle. Examples are taken from solid-state qubit systems to illustrate the ideas of quantum non-demolition measurement (QND), the entanglement-enhanced precision measurement, the weak measurement, and so on.</div></td></tr>
</table>Mahnsoo.choi Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627 https://qclab.korea.ac.kr/QCLab/index.php?title=Tutorial:_Quantum_Theory_of_Measurement&diff=2437&oldid=prevMahnsoo.choi: Created page with "Prof. Choi, Mahn-Soo (Korea Univ) * Speaker: Prof. Choi, Mahn-Soo (Korea Univ) * Date: Wednesday May 08, 2019 05:00pm * Pla..."2019-04-28T23:25:42Z<p>Created page with "<a href="/QCLab/index.php?title=File:Nobody.jpg&action=edit&redlink=1" class="new" title="File:Nobody.jpg (page does not exist)">thumb|x300px|Prof. Choi, Mahn-Soo (Korea Univ)</a> * Speaker: <a href="/QCLab/index.php/Choi,_Mahn-Soo" title="Choi, Mahn-Soo">Prof. Choi, Mahn-Soo (Korea Univ)</a> * Date: Wednesday May 08, 2019 05:00pm * Pla..."</p>
<p><b>New page</b></p><div>[[file:Nobody.jpg|thumb|x300px|Prof. Choi, Mahn-Soo (Korea Univ)]]<br />
* Speaker: [[Choi, Mahn-Soo|Prof. Choi, Mahn-Soo (Korea Univ)]]<br />
* Date: Wednesday May 08, 2019 05:00pm<br />
* Place: Jungho Seminar Room<br />
<br />
Unlike in classical mechanics, measurement is highly non-trivial in quantum mechanics as one can see from the hypothesis of wave function collapse. Even more serious is the fundamental limit due to the uncertainty principle, which cannot be beat by however advanced technical instruments. In this tutorial, we introduce the basic principle and formulation of measurement in quantum mechanics, and discuss several quantum-enhanced methods for precision measurement to overcome the so-called standard quantum limit (SQL) while not violating the uncertainty principle. Examples are taken from solid-state qubit systems to illustrate the ideas of quantum non-demolition measurement (QND), the entanglement-enhanced precision measurement, the weak measurement, and so on.<br />
<br />
[[Category:Seminars]]<br />
[[Category:Condensed Matter Seminars]]</div>Mahnsoo.choi