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.
Authors
- Sabre Kais (ORCID: https://orcid.org/0000-0003-0574-5346)
- Jian‐Shun Tang (ORCID: https://orcid.org/0000-0002-2191-8350)
- Kai Xu (ORCID: https://orcid.org/0009-0004-0558-5973)
- Chuan‐Feng Li (ORCID: https://orcid.org/0000-0001-6815-8929)
- Bo-Fu Xie
- Fei Ming (ORCID: https://orcid.org/0000-0002-4060-3346)
- Zhenghao Liu (ORCID: https://orcid.org/0000-0001-8067-1477)
- Zhaoan Wang (ORCID: https://orcid.org/0009-0001-7883-0149)
- Ye Liu (ORCID: https://orcid.org/0000-0002-1082-6530)
- Yi‐Tao Wang (ORCID: https://orcid.org/0000-0003-3028-0923)
- Dong Wang (ORCID: https://orcid.org/0000-0002-0545-6205)
- Yu Meng (ORCID: https://orcid.org/0000-0003-3550-4287)
- Guang-Can Guo
Institutions
- University of Science and Technology of China (CN)
- North Carolina State University (US)
- Anhui University (CN)
- Purdue University West Lafayette (US)
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
Funders
- National Science Foundation
- National Natural Science Foundation of China
- Chinese Academy of Sciences