| Paper Abstract and Keywords |
| Presentation |
2022-12-08 18:00
Quantum subspace expansion based on fermionic shadow tomography for k-RDM estimation
Nayuta Takemori (Osaka Univ.), Nobuyuki Yoshioka (Tokyo Univ.), Wataru Mizukami (Osaka Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
The reduced density matrix in quantum many-body systems is extremely useful in elaborating physical properties, as it contains all the information of local physical quantities.
In particular, the reduced density matrix can be used for perturbation theory corrections and excitation state calculations, and is therefore considered to play an important role in the NISQ algorithm.
On the other hand, higher-order reduced density matrices above third order have been used in various quantum algorithms, such as ADAPT-VQE for dynamic circuit generation and qEOM for excitation energy determination, but the evaluation of higher-order reduced density matrices is not a scalable method due to the difficulties. This paper reports on the reduction of bottlenecks in the Quantum Subspace Expansion (QSE) method by reconstructing higher-order reduced density matrices from random sampling, without directly determining wave functions. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
quantum many-body model / reduced density matrix / quantum subspace expansion / fermionic shadow tomography / / / / |
| Reference Info. |
IEICE Tech. Rep. |
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| Conference Information |
| Committee |
QIT |
| Conference Date |
2022-12-08 - 2022-12-09 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Keio Univ. |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Quantum Information |
| Paper Information |
| Registration To |
QIT |
| Conference Code |
2022-12-QIT |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Quantum subspace expansion based on fermionic shadow tomography for k-RDM estimation |
| Sub Title (in English) |
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| Keyword(1) |
quantum many-body model |
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reduced density matrix |
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quantum subspace expansion |
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fermionic shadow tomography |
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| 1st Author's Name |
Nayuta Takemori |
| 1st Author's Affiliation |
Osaka University (Osaka Univ.) |
| 2nd Author's Name |
Nobuyuki Yoshioka |
| 2nd Author's Affiliation |
University of Tokyo (Tokyo Univ.) |
| 3rd Author's Name |
Wataru Mizukami |
| 3rd Author's Affiliation |
Osaka University (Osaka Univ.) |
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| Date Time |
2022-12-08 18:00:00 |
| Presentation Time |
15 minutes |
| Registration for |
QIT |
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