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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2020
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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) |
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Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 |
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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 |
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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 |
work_keys_str_mv |
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