Journal article
Variational ansatz-based quantum simulation of imaginary time evolution
- Abstract:
- Imaginary time evolution is a powerful tool for studying quantum systems. While it is possible to simulate with a classical computer, the time and memory requirements generally scale exponentially with the system size. Conversely, quantum computers can efficiently simulate quantum systems, but not non-unitary imaginary time evolution. We propose a variational algorithm for simulating imaginary time evolution on a hybrid quantum computer. We use this algorithm to find the ground-state energy of many-particle systems; specifically molecular hydrogen and lithium hydride, finding the ground state with high probability. Our method can also be applied to general optimisation problems and quantum machine learning. As our algorithm is hybrid, suitable for error mitigation and can exploit shallow quantum circuits, it can be implemented with current quantum computers.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 2.7MB, Terms of use)
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- Publisher copy:
- 10.1038/s41534-019-0187-2
Authors
- Publisher:
- Springer Nature
- Journal:
- npj Quantum Information More from this journal
- Volume:
- 5
- Article number:
- 75
- Publication date:
- 2019-09-06
- Acceptance date:
- 2019-08-04
- DOI:
- EISSN:
-
2056-6387
- Keywords:
- Pubs id:
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pubs:1040286
- UUID:
-
uuid:2372988f-7690-44a7-a34d-4b9aa0fa589d
- Local pid:
-
pubs:1040286
- Source identifiers:
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1040286
- Deposit date:
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2019-08-09
Terms of use
- Copyright holder:
- McArdle et al
- Copyright date:
- 2019
- Notes:
- Copyright © 2019 The Authors. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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