| Paper Abstract and Keywords |
| Presentation |
2025-05-28 11:30
Free energy estimation based on unital extrapolation
Seita Tsuboi, Nobumasa Ishida, Yoshihiko Hasegawa (Univ. of Tokyo) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
In recent years, fundamental connections between thermodynamics and information theory have been elucidated, and thermodynamic inference, which estimates physical quantities by applying thermodynamic relations, has attracted significant attention. Among these, the Jarzynski equality—a foundational relation—is particularly promising as a method for experimentally estimating free energy in quantum systems. However, the Jarzynski equality assumes unital quantum time evolution, making it difficult to apply in non-unital dynamics where interactions with external environments are present.
In this study, we propose a method to estimate free energy changes by correcting for environmental interactions, inspired by Zero Noise Extrapolation (ZNE), a technique developed in the field of quantum error mitigation. We validated the effectiveness of the proposed method through simulations based on the Lindblad equation and Kraus representations, using a two-qubit system initially in a Gibbs state. This work is expected to provide a means of estimating free energy changes in complex quantum systems where interactions with external environments cannot be neglected. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
free energy estimation / Jarzynski equality / Zero Noise Extrapolation / thermodynamic inference / / / / |
| Reference Info. |
IEICE Tech. Rep. |
| Paper # |
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| Conference Information |
| Committee |
QIT |
| Conference Date |
2025-05-28 - 2025-05-30 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Sanaru Hall, Hamamatsu Campus, Shizuoka University |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Quantum Information |
| Paper Information |
| Registration To |
QIT |
| Conference Code |
2025-05-QIT |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Free energy estimation based on unital extrapolation |
| Sub Title (in English) |
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| Keyword(1) |
free energy estimation |
| Keyword(2) |
Jarzynski equality |
| Keyword(3) |
Zero Noise Extrapolation |
| Keyword(4) |
thermodynamic inference |
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| 1st Author's Name |
Seita Tsuboi |
| 1st Author's Affiliation |
The University of Tokyo (Univ. of Tokyo) |
| 2nd Author's Name |
Nobumasa Ishida |
| 2nd Author's Affiliation |
The University of Tokyo (Univ. of Tokyo) |
| 3rd Author's Name |
Yoshihiko Hasegawa |
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The University of Tokyo (Univ. of Tokyo) |
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| Speaker |
Author-1 |
| Date Time |
2025-05-28 11:30:00 |
| Presentation Time |
20 minutes |
| Registration for |
QIT |
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vol. |
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