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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2021
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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) |
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Medicine R Science Q C.-Y. Pan M. Hao N. Barraza E. Solano F. Albarrán-Arriagada Experimental semi-autonomous eigensolver using reinforcement learning |
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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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1718379547536130048 |