Minimum hardware requirements for hybrid quantum-classical DMFT

We numerically emulate noisy intermediate-scale quantum (NISQ) devices and determine the minimal hardware requirements for two-site hybrid quantum-classical dynamical mean-field theory (DMFT). We develop a circuit recompilation algorithm which significantly reduces the number of quantum gates of the...

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Main Authors: Jaderberg, B, Agarwal, A, Leonhardt, K, Kiffner, M, Jaksch, D
Format: Journal article
Language:English
Published: IOP Science 2020
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author Jaderberg, B
Agarwal, A
Leonhardt, K
Kiffner, M
Jaksch, D
author_facet Jaderberg, B
Agarwal, A
Leonhardt, K
Kiffner, M
Jaksch, D
author_sort Jaderberg, B
collection OXFORD
description We numerically emulate noisy intermediate-scale quantum (NISQ) devices and determine the minimal hardware requirements for two-site hybrid quantum-classical dynamical mean-field theory (DMFT). We develop a circuit recompilation algorithm which significantly reduces the number of quantum gates of the DMFT algorithm and find that the quantum-classical algorithm converges if the two-qubit gate fidelities are larger than 99%. The converged results agree with the exact solution within 10%, and perfect agreement within noise-induced error margins can be obtained for two-qubit gate fidelities exceeding 99.9%. By comparison, the quantum-classical algorithm without circuit recompilation requires a two-qubit gate fidelity of at least 99.999% to achieve perfect agreement with the exact solution. We thus find quantum-classical DMFT calculations can be run on the next generation of NISQ devices if combined with the recompilation techniques developed in this work.
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spelling oxford-uuid:25ee9e14-e2fe-4ca8-89f8-9acee80eb0c42022-03-26T11:58:18ZMinimum hardware requirements for hybrid quantum-classical DMFTJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:25ee9e14-e2fe-4ca8-89f8-9acee80eb0c4EnglishSymplectic ElementsIOP Science 2020Jaderberg, BAgarwal, ALeonhardt, KKiffner, MJaksch, DWe numerically emulate noisy intermediate-scale quantum (NISQ) devices and determine the minimal hardware requirements for two-site hybrid quantum-classical dynamical mean-field theory (DMFT). We develop a circuit recompilation algorithm which significantly reduces the number of quantum gates of the DMFT algorithm and find that the quantum-classical algorithm converges if the two-qubit gate fidelities are larger than 99%. The converged results agree with the exact solution within 10%, and perfect agreement within noise-induced error margins can be obtained for two-qubit gate fidelities exceeding 99.9%. By comparison, the quantum-classical algorithm without circuit recompilation requires a two-qubit gate fidelity of at least 99.999% to achieve perfect agreement with the exact solution. We thus find quantum-classical DMFT calculations can be run on the next generation of NISQ devices if combined with the recompilation techniques developed in this work.
spellingShingle Jaderberg, B
Agarwal, A
Leonhardt, K
Kiffner, M
Jaksch, D
Minimum hardware requirements for hybrid quantum-classical DMFT
title Minimum hardware requirements for hybrid quantum-classical DMFT
title_full Minimum hardware requirements for hybrid quantum-classical DMFT
title_fullStr Minimum hardware requirements for hybrid quantum-classical DMFT
title_full_unstemmed Minimum hardware requirements for hybrid quantum-classical DMFT
title_short Minimum hardware requirements for hybrid quantum-classical DMFT
title_sort minimum hardware requirements for hybrid quantum classical dmft
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AT agarwala minimumhardwarerequirementsforhybridquantumclassicaldmft
AT leonhardtk minimumhardwarerequirementsforhybridquantumclassicaldmft
AT kiffnerm minimumhardwarerequirementsforhybridquantumclassicaldmft
AT jakschd minimumhardwarerequirementsforhybridquantumclassicaldmft