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Fermionic Gaussian Simulation: Applications and Beyond: Difference between revisions

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* Event: [[Quantum Technology Workshop 2026]]
* Event: [[Quantum Technology Workshop 2026]]


We review existing classical simulation methods for performing fermionic Gaussian operations and develop new methods to address the gap by adhering to the fundamental theoretical framework established by Bravyi [Quantum Info. Comput. 5, 216 (2005)] for the most general fermionic Gaussian processes. Throughout this attempt, the focus remains on the unified approach that can be applied to generic fermionic Gaussian operations. This is beneficial since the selection of simulation methods has often been based on an ad hoc choice, heavily influenced by the specific model and circumstances, rather than on a systematic approach.
We review existing classical simulation methods for performing fermionic Gaussian operations and develop new methods to address the gap by adhering to the fundamental theoretical framework established by Bravyi [1] for the most general fermionic Gaussian processes [2]. Throughout this attempt, the focus remains on the unified approach that can be applied to generic fermionic Gaussian operations. This is beneficial since the selection of simulation methods has often been based on an ad hoc choice, heavily influenced by the specific model and circumstances, rather than on a systematic approach.
Recently, an important step toward fermionic quantum computation has been reported on fermonic atoms on optical superlattice [2,3].
Recently, an important step toward fermionic quantum computation has been reported on fermonic atoms on optical superlattice [3,4].


[1] Fang, Y., H. Choi, M. Lee, & M.-S. Choi, Advanced Quantum Technologies 9 (4), e00758 (2026).
[1] Bravyi, S., Quantum Info. Comput. 5 (3), 216 (2005). “Lagrangian representation for fermionic
linear optics”.
 
[2] Fang, Y., H. Choi, M. Lee, & M.-S. Choi, Advanced Quantum Technologies 9 (4), e00758 (2026).
“Efficient Gaussian Simulations of Fermionic Open Quantum Systems”.
“Efficient Gaussian Simulations of Fermionic Open Quantum Systems”.


[2] Bojović, P., T. Hilker, S. Wang, et al., Nature 652 (8110), 602 (2026). “High-fidelity collisional
[3] Bojović, P., T. Hilker, S. Wang, et al., Nature 652 (8110), 602 (2026). “High-fidelity collisional
quantum gates with fermionic atoms”.
quantum gates with fermionic atoms”.


[3] Kiefer, Y., Z. Zhu, L. Fischer, et al., Nature 652 (8110), 609 (2026). “Protected quantum gates
[4] Kiefer, Y., Z. Zhu, L. Fischer, et al., Nature 652 (8110), 609 (2026). “Protected quantum gates
using qubit doublons in dynamical optical lattices”.
using qubit doublons in dynamical optical lattices”.


[[Category: Quantum Technology Workshop 2026]]
[[Category: Quantum Technology Workshop 2026]]
[[Category: Seminars]]
[[Category: Seminars]]

Latest revision as of 00:35, 12 August 2026

We review existing classical simulation methods for performing fermionic Gaussian operations and develop new methods to address the gap by adhering to the fundamental theoretical framework established by Bravyi [1] for the most general fermionic Gaussian processes [2]. Throughout this attempt, the focus remains on the unified approach that can be applied to generic fermionic Gaussian operations. This is beneficial since the selection of simulation methods has often been based on an ad hoc choice, heavily influenced by the specific model and circumstances, rather than on a systematic approach. Recently, an important step toward fermionic quantum computation has been reported on fermonic atoms on optical superlattice [3,4].

[1] Bravyi, S., Quantum Info. Comput. 5 (3), 216 (2005). “Lagrangian representation for fermionic linear optics”.

[2] Fang, Y., H. Choi, M. Lee, & M.-S. Choi, Advanced Quantum Technologies 9 (4), e00758 (2026). “Efficient Gaussian Simulations of Fermionic Open Quantum Systems”.

[3] Bojović, P., T. Hilker, S. Wang, et al., Nature 652 (8110), 602 (2026). “High-fidelity collisional quantum gates with fermionic atoms”.

[4] Kiefer, Y., Z. Zhu, L. Fischer, et al., Nature 652 (8110), 609 (2026). “Protected quantum gates using qubit doublons in dynamical optical lattices”.