Experimental semi-autonomous eigensolver using reinforcement learning

Abstract The characterization of observables, expressed via Hermitian operators, is a crucial task in quantum mechanics. For this reason, an eigensolver is a fundamental algorithm for any quantum technology. In this work, we implement a semi-autonomous algorithm to obtain an approximation of the eig...

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Autores principales: C.-Y. Pan, M. Hao, N. Barraza, E. Solano, F. Albarrán-Arriagada
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Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/af1127bdbeb84e349f4405ed5694d843
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spelling oai:doaj.org-article:af1127bdbeb84e349f4405ed5694d8432021-12-02T17:47:03ZExperimental semi-autonomous eigensolver using reinforcement learning10.1038/s41598-021-90534-72045-2322https://doaj.org/article/af1127bdbeb84e349f4405ed5694d8432021-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-90534-7https://doaj.org/toc/2045-2322Abstract The characterization of observables, expressed via Hermitian operators, is a crucial task in quantum mechanics. For this reason, an eigensolver is a fundamental algorithm for any quantum technology. In this work, we implement a semi-autonomous algorithm to obtain an approximation of the eigenvectors of an arbitrary Hermitian operator using the IBM quantum computer. To this end, we only use single-shot measurements and pseudo-random changes handled by a feedback loop, reducing the number of measures in the system. Due to the classical feedback loop, this algorithm can be cast into the reinforcement learning paradigm. Using this algorithm, for a single-qubit observable, we obtain both eigenvectors with fidelities over 0.97 with around 200 single-shot measurements. For two-qubits observables, we get fidelities over 0.91 with around 1500 single-shot measurements for the four eigenvectors, which is a comparatively low resource demand, suitable for current devices. This work is useful to the development of quantum devices able to decide with partial information, which helps to implement future technologies in quantum artificial intelligence.C.-Y. PanM. HaoN. BarrazaE. SolanoF. Albarrán-ArriagadaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-10 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
C.-Y. Pan
M. Hao
N. Barraza
E. Solano
F. Albarrán-Arriagada
Experimental semi-autonomous eigensolver using reinforcement learning
description Abstract The characterization of observables, expressed via Hermitian operators, is a crucial task in quantum mechanics. For this reason, an eigensolver is a fundamental algorithm for any quantum technology. In this work, we implement a semi-autonomous algorithm to obtain an approximation of the eigenvectors of an arbitrary Hermitian operator using the IBM quantum computer. To this end, we only use single-shot measurements and pseudo-random changes handled by a feedback loop, reducing the number of measures in the system. Due to the classical feedback loop, this algorithm can be cast into the reinforcement learning paradigm. Using this algorithm, for a single-qubit observable, we obtain both eigenvectors with fidelities over 0.97 with around 200 single-shot measurements. For two-qubits observables, we get fidelities over 0.91 with around 1500 single-shot measurements for the four eigenvectors, which is a comparatively low resource demand, suitable for current devices. This work is useful to the development of quantum devices able to decide with partial information, which helps to implement future technologies in quantum artificial intelligence.
format article
author C.-Y. Pan
M. Hao
N. Barraza
E. Solano
F. Albarrán-Arriagada
author_facet C.-Y. Pan
M. Hao
N. Barraza
E. Solano
F. Albarrán-Arriagada
author_sort C.-Y. Pan
title Experimental semi-autonomous eigensolver using reinforcement learning
title_short Experimental semi-autonomous eigensolver using reinforcement learning
title_full Experimental semi-autonomous eigensolver using reinforcement learning
title_fullStr Experimental semi-autonomous eigensolver using reinforcement learning
title_full_unstemmed Experimental semi-autonomous eigensolver using reinforcement learning
title_sort experimental semi-autonomous eigensolver using reinforcement learning
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/af1127bdbeb84e349f4405ed5694d843
work_keys_str_mv AT cypan experimentalsemiautonomouseigensolverusingreinforcementlearning
AT mhao experimentalsemiautonomouseigensolverusingreinforcementlearning
AT nbarraza experimentalsemiautonomouseigensolverusingreinforcementlearning
AT esolano experimentalsemiautonomouseigensolverusingreinforcementlearning
AT falbarranarriagada experimentalsemiautonomouseigensolverusingreinforcementlearning
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