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  Classical algorithms for many-body quantum systems at finite energies

Yang, Y., Cirac, J. I., & Bañuls, M. C. (2022). Classical algorithms for many-body quantum systems at finite energies. Physical Review B, 106: 024307. doi:10.1103/PhysRevB.106.024307.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-63DD-E Version Permalink: https://hdl.handle.net/21.11116/0000-000A-D3DC-0
Genre: Journal Article

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 Creators:
Yang, Yilun1, 2, Author           
Cirac, J. Ignacio1, 2, Author           
Bañuls, Mari Carmen1, 2, Author           
Affiliations:
1Theory, Max Planck Institute of Quantum Optics, Max Planck Society, ou_1445571              
2MCQST - Munich Center for Quantum Science and Technology, External Organizations, ou_3330166              

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Free keywords: Quantum Physics, quant-ph
 Abstract: We investigate quantum inspired algorithms to compute physical observables of quantum many-body systems at finite energies. They are based on the quantum algorithms proposed in [Lu et al. PRX Quantum 2, 020321 (2021)], which use the quantum simulation of the dynamics of such systems, as well as classical filtering and sampling techniques. Here, we replace the quantum simulation by standard classical methods based on matrix product states and operators. As a result, we can address significantly larger systems than those reachable by exact diagonalization or by other algorithms. We demonstrate the performance with spin chains up to 80 sites.

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Language(s): eng - English
 Dates: 2022-04-202022-06-302022-07-152022-07
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2204.09439v1
DOI: 10.1103/PhysRevB.106.024307
Other: 6325
 Degree: -

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Project name : -
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Funding program : Germany’s Excellence Strategy – EXC- 2111 – 3908148688
Funding organization : Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)
Project name : ERC grant QUENOCOBA, ERC-2016-ADG
Grant ID : 742102
Funding program : -
Funding organization : European Commission (EC)
Project name : EQUAHUMO
Grant ID : 13N16066
Funding program : funding program quantum technologies - from basic research to market, in association to the Munich Quantum Valley
Funding organization : German Federal Ministry of Education and Research (BMBF)

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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 106 Sequence Number: 024307 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008