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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 / / / /  
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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)  
Keyword(1) quantum many-body model  
Keyword(2) reduced density matrix  
Keyword(3) quantum subspace expansion  
Keyword(4) 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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Speaker Author-1 
Date Time 2022-12-08 18:00:00 
Presentation Time 15 minutes 
Registration for QIT 
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