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Variational algorithms for linear algebra

Abstract:

Quantum algorithms have been developed for efficiently solving linear algebra tasks. However, they generally require deep circuits and hence universal fault-tolerant quantum computers. In this work, we propose variational algorithms for linear algebra tasks that are compatible with noisy intermediate-scale quantum devices. We show that the solutions of linear systems of equations and matrix–vector multiplications can be translated as the ground states of the constructed Hamiltonians. Based on...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.scib.2021.06.023

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Condensed Matter Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Materials
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Materials
Oxford college:
Exeter College
Role:
Author
ORCID:
0000-0002-7766-5348
Publisher:
Elsevier
Journal:
Science Bulletin More from this journal
Volume:
66
Issue:
21
Pages:
2181-2188
Publication date:
2021-06-26
Acceptance date:
2021-06-21
DOI:
ISSN:
2095-9273
Language:
English
Keywords:
Pubs id:
1182296
Local pid:
pubs:1182296
Deposit date:
2021-06-16

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