Experimental test of generalized multipartite entropic uncertainty relations
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arXiv
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| Auteurs principaux: | , , , , , , , , , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866909231982051328 |
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| author | Wang, Zhao-An Xie, Bo-Fu Ming, Fei Wang, Yi-Tao Wang, Dong Meng, Yu Liu, Zheng-Hao Tang, Jian-Shun Ye, Liu Li, Chuan-Feng Guo, Guang-Can Kais, Sabre |
| author_facet | Wang, Zhao-An Xie, Bo-Fu Ming, Fei Wang, Yi-Tao Wang, Dong Meng, Yu Liu, Zheng-Hao Tang, Jian-Shun Ye, Liu Li, Chuan-Feng Guo, Guang-Can Kais, Sabre |
| contents | Entropic uncertainty relation (EUR) formulates the restriction of the inherent uncertainty of quantum mechanics from the 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--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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_12693 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Experimental test of generalized multipartite entropic uncertainty relations Wang, Zhao-An Xie, Bo-Fu Ming, Fei Wang, Yi-Tao Wang, Dong Meng, Yu Liu, Zheng-Hao Tang, Jian-Shun Ye, Liu Li, Chuan-Feng Guo, Guang-Can Kais, Sabre Quantum Physics Entropic uncertainty relation (EUR) formulates the restriction of the inherent uncertainty of quantum mechanics from the 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--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. |
| title | Experimental test of generalized multipartite entropic uncertainty relations |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2207.12693 |