Experimental test of generalized multipartite entropic uncertainty relations

Entropic uncertainty relation (EUR) formulates the restriction of the inherent uncertainty of quantum mechanics from an information-theoretic perspective. A tighter lower bound for uncertainty relations can provide information-theoretic security to quantum communication protocols. Recently, a generalized EUR (GEUR) for the measurement of multiple observables in arbitrary many-body systems has been formulated. Here, we experimentally test this GEUR using a four-photon entangled state with a controllable decoherence channel and show that for the tripartite scenario, the GEUR improves the entropic bound from Renes and Boileau's famous results. As an application, we further demonstrate an improvement of the secure key rate in quantum key distribution from the GEUR. Our results extend the test of EURs into multipartite regimes and may find applications in practical quantum cryptography tasks.

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Publication Details

Journal
Physical review. A/Physical review, A
Published
2024-12-26
DOI
https://doi.org/10.1103/physreva.110.062220
Citations
9
Primary Topic
Statistical Mechanics and Entropy
Type
article
Field-Weighted Citation Impact
2.53

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article

Experimental test of generalized multipartite entropic uncertainty relations

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9 citations
Physical review. A/Physical review, A
Statistical Mechanics and Entropy
2.53
article

Experimental test of generalized multipartite entropic uncertainty relations

Sabre Kais, Jian‐Shun Tang, Kai Xu, Chuan‐Feng Li, Bo-Fu Xie, Fei Ming, Zhenghao Liu, Zhaoan Wang, Ye Liu, Yi‐Tao Wang, Dong Wang, Yu Meng, Guang-Can Guo
article en
9 citations

Abstract

Entropic uncertainty relation (EUR) formulates the restriction of the inherent uncertainty of quantum mechanics from an information-theoretic perspective. A tighter lower bound for uncertainty relations can provide information-theoretic security to quantum communication protocols. Recently, a generalized EUR (GEUR) for the measurement of multiple observables in arbitrary many-body systems has been formulated. Here, we experimentally test this GEUR using a four-photon entangled state with a controllable decoherence channel and show that for the tripartite scenario, the GEUR improves the entropic bound from Renes and Boileau's famous results. As an application, we further demonstrate an improvement of the secure key rate in quantum key distribution from the GEUR. Our results extend the test of EURs into multipartite regimes and may find applications in practical quantum cryptography tasks.

Physical review. A/Physical review, AVol. 110(6)
University of Science and Technology of China (CN), North Carolina State University (US), Anhui University (CN), Purdue University West Lafayette (US)
National Science Foundation, National Natural Science Foundation of China, Chinese Academy of Sciences
Openalex Percentile: Top 10%
Statistical Mechanics and Entropy
2.53
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