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Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance
Quantum ground-state problems are computationally hard problems for general many-body Hamiltonians; there is no classical or quantum algorithm known to be able to solve them efficiently. Nevertheless, if a trial wavefunction approximating the ground state is available, as often happens for many prob...
Autores principales: | , , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2011
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3216574/ https://www.ncbi.nlm.nih.gov/pubmed/22355607 http://dx.doi.org/10.1038/srep00088 |
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author | Li, Zhaokai Yung, Man-Hong Chen, Hongwei Lu, Dawei Whitfield, James D. Peng, Xinhua Aspuru-Guzik, Alán Du, Jiangfeng |
author_facet | Li, Zhaokai Yung, Man-Hong Chen, Hongwei Lu, Dawei Whitfield, James D. Peng, Xinhua Aspuru-Guzik, Alán Du, Jiangfeng |
author_sort | Li, Zhaokai |
collection | PubMed |
description | Quantum ground-state problems are computationally hard problems for general many-body Hamiltonians; there is no classical or quantum algorithm known to be able to solve them efficiently. Nevertheless, if a trial wavefunction approximating the ground state is available, as often happens for many problems in physics and chemistry, a quantum computer could employ this trial wavefunction to project the ground state by means of the phase estimation algorithm (PEA). We performed an experimental realization of this idea by implementing a variational-wavefunction approach to solve the ground-state problem of the Heisenberg spin model with an NMR quantum simulator. Our iterative phase estimation procedure yields a high accuracy for the eigenenergies (to the 10(−5) decimal digit). The ground-state fidelity was distilled to be more than 80%, and the singlet-to-triplet switching near the critical field is reliably captured. This result shows that quantum simulators can better leverage classical trial wave functions than classical computers |
format | Online Article Text |
id | pubmed-3216574 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2011 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-32165742011-12-22 Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance Li, Zhaokai Yung, Man-Hong Chen, Hongwei Lu, Dawei Whitfield, James D. Peng, Xinhua Aspuru-Guzik, Alán Du, Jiangfeng Sci Rep Article Quantum ground-state problems are computationally hard problems for general many-body Hamiltonians; there is no classical or quantum algorithm known to be able to solve them efficiently. Nevertheless, if a trial wavefunction approximating the ground state is available, as often happens for many problems in physics and chemistry, a quantum computer could employ this trial wavefunction to project the ground state by means of the phase estimation algorithm (PEA). We performed an experimental realization of this idea by implementing a variational-wavefunction approach to solve the ground-state problem of the Heisenberg spin model with an NMR quantum simulator. Our iterative phase estimation procedure yields a high accuracy for the eigenenergies (to the 10(−5) decimal digit). The ground-state fidelity was distilled to be more than 80%, and the singlet-to-triplet switching near the critical field is reliably captured. This result shows that quantum simulators can better leverage classical trial wave functions than classical computers Nature Publishing Group 2011-09-09 /pmc/articles/PMC3216574/ /pubmed/22355607 http://dx.doi.org/10.1038/srep00088 Text en Copyright © 2011, Macmillan Publishers Limited. All rights reserved http://creativecommons.org/licenses/by-nc-nd/3.0/ This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 3.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-nd/3.0/ |
spellingShingle | Article Li, Zhaokai Yung, Man-Hong Chen, Hongwei Lu, Dawei Whitfield, James D. Peng, Xinhua Aspuru-Guzik, Alán Du, Jiangfeng Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance |
title | Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance |
title_full | Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance |
title_fullStr | Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance |
title_full_unstemmed | Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance |
title_short | Solving Quantum Ground-State Problems with Nuclear Magnetic Resonance |
title_sort | solving quantum ground-state problems with nuclear magnetic resonance |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3216574/ https://www.ncbi.nlm.nih.gov/pubmed/22355607 http://dx.doi.org/10.1038/srep00088 |
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