Classical communication enhanced quantum state verification

Abstract Quantum state verification provides an efficient approach to characterize the reliability of quantum devices for generating certain target states. The figure of merit of a specific strategy is the estimated infidelity ϵ of the tested state to the target state, given a certain number of perf...

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Autores principales: Wen-Hao Zhang, Xiao Liu, Peng Yin, Xing-Xiang Peng, Gong-Chu Li, Xiao-Ye Xu, Shang Yu, Zhi-Bo Hou, Yong-Jian Han, Jin-Shi Xu, Zong-Quan Zhou, Geng Chen, Chuan-Feng Li, Guang-Can Guo
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Publicado: Nature Portfolio 2020
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Acceso en línea:https://doaj.org/article/9fc3e3546acc4298a5148d53d74cf6f1
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spelling oai:doaj.org-article:9fc3e3546acc4298a5148d53d74cf6f12021-12-02T12:42:29ZClassical communication enhanced quantum state verification10.1038/s41534-020-00328-42056-6387https://doaj.org/article/9fc3e3546acc4298a5148d53d74cf6f12020-12-01T00:00:00Zhttps://doi.org/10.1038/s41534-020-00328-4https://doaj.org/toc/2056-6387Abstract Quantum state verification provides an efficient approach to characterize the reliability of quantum devices for generating certain target states. The figure of merit of a specific strategy is the estimated infidelity ϵ of the tested state to the target state, given a certain number of performed measurements n. Entangled measurements constitute the globally optimal strategy and achieve the scaling that ϵ is inversely proportional to n. Recent advances show that it is possible to achieve the same scaling simply with non-adaptive local measurements; however, the performance is still worse than the globally optimal bound up to a constant factor. In this work, by introducing classical communication, we experimentally implement an adaptive quantum state verification. The constant factor is minimized from ~2.5 to 1.5 in this experiment, which means that only 60% measurements are required to achieve a certain value of ϵ compared to optimal non-adaptive local strategy. Our results indicate that classical communication significantly enhances the performance of quantum state verification, and leads to an efficiency that further approaches the globally optimal bound.Wen-Hao ZhangXiao LiuPeng YinXing-Xiang PengGong-Chu LiXiao-Ye XuShang YuZhi-Bo HouYong-Jian HanJin-Shi XuZong-Quan ZhouGeng ChenChuan-Feng LiGuang-Can GuoNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 6, Iss 1, Pp 1-6 (2020)
institution DOAJ
collection DOAJ
language EN
topic Physics
QC1-999
Electronic computers. Computer science
QA75.5-76.95
spellingShingle Physics
QC1-999
Electronic computers. Computer science
QA75.5-76.95
Wen-Hao Zhang
Xiao Liu
Peng Yin
Xing-Xiang Peng
Gong-Chu Li
Xiao-Ye Xu
Shang Yu
Zhi-Bo Hou
Yong-Jian Han
Jin-Shi Xu
Zong-Quan Zhou
Geng Chen
Chuan-Feng Li
Guang-Can Guo
Classical communication enhanced quantum state verification
description Abstract Quantum state verification provides an efficient approach to characterize the reliability of quantum devices for generating certain target states. The figure of merit of a specific strategy is the estimated infidelity ϵ of the tested state to the target state, given a certain number of performed measurements n. Entangled measurements constitute the globally optimal strategy and achieve the scaling that ϵ is inversely proportional to n. Recent advances show that it is possible to achieve the same scaling simply with non-adaptive local measurements; however, the performance is still worse than the globally optimal bound up to a constant factor. In this work, by introducing classical communication, we experimentally implement an adaptive quantum state verification. The constant factor is minimized from ~2.5 to 1.5 in this experiment, which means that only 60% measurements are required to achieve a certain value of ϵ compared to optimal non-adaptive local strategy. Our results indicate that classical communication significantly enhances the performance of quantum state verification, and leads to an efficiency that further approaches the globally optimal bound.
format article
author Wen-Hao Zhang
Xiao Liu
Peng Yin
Xing-Xiang Peng
Gong-Chu Li
Xiao-Ye Xu
Shang Yu
Zhi-Bo Hou
Yong-Jian Han
Jin-Shi Xu
Zong-Quan Zhou
Geng Chen
Chuan-Feng Li
Guang-Can Guo
author_facet Wen-Hao Zhang
Xiao Liu
Peng Yin
Xing-Xiang Peng
Gong-Chu Li
Xiao-Ye Xu
Shang Yu
Zhi-Bo Hou
Yong-Jian Han
Jin-Shi Xu
Zong-Quan Zhou
Geng Chen
Chuan-Feng Li
Guang-Can Guo
author_sort Wen-Hao Zhang
title Classical communication enhanced quantum state verification
title_short Classical communication enhanced quantum state verification
title_full Classical communication enhanced quantum state verification
title_fullStr Classical communication enhanced quantum state verification
title_full_unstemmed Classical communication enhanced quantum state verification
title_sort classical communication enhanced quantum state verification
publisher Nature Portfolio
publishDate 2020
url https://doaj.org/article/9fc3e3546acc4298a5148d53d74cf6f1
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