Quantum correlation enhanced bound of the information exclusion principle

doi:10.1088/1674-1056/accf80

中国物理B ›› 2023, Vol. 32 ›› Issue (9): 90301-090301.doi: 10.1088/1674-1056/accf80

Quantum correlation enhanced bound of the information exclusion principle

Jun Zhang(张钧)^1,2,†, Kan He(贺衎)², Hao Zhang(张昊)³, and Chang-Shui Yu(于长水)^4,‡

1 College of Data Science, Taiyuan University of Technology, Taiyuan 030024, China;
2 College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China;
3 College of Information and Computer, Taiyuan University of Technology, Taiyuan 030024, China;
4 School of Physics, Dalian University of Technology, Dalian 116024, China

收稿日期:2023-03-14 修回日期:2023-04-23 接受日期:2023-04-24 发布日期:2023-08-28
通讯作者: Jun Zhang, Chang-Shui Yu E-mail:zhang6347@163.com;ycs@dlut.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12271394, 11775040, and 12011530014), the Natural Science Foundation of Shanxi Province, China (Grant Nos. 201801D221032 and 201801D121016), the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (Grant No. 2019L0178), the Key Research and Development Program of Shanxi Province (Grant No. 202102010101004), and the China Scholarship Council.

Quantum correlation enhanced bound of the information exclusion principle

Jun Zhang(张钧)^1,2,†, Kan He(贺衎)², Hao Zhang(张昊)³, and Chang-Shui Yu(于长水)^4,‡

1 College of Data Science, Taiyuan University of Technology, Taiyuan 030024, China;
2 College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China;
3 College of Information and Computer, Taiyuan University of Technology, Taiyuan 030024, China;
4 School of Physics, Dalian University of Technology, Dalian 116024, China

Received:2023-03-14 Revised:2023-04-23 Accepted:2023-04-24 Published:2023-08-28
Contact: Jun Zhang, Chang-Shui Yu E-mail:zhang6347@163.com;ycs@dlut.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12271394, 11775040, and 12011530014), the Natural Science Foundation of Shanxi Province, China (Grant Nos. 201801D221032 and 201801D121016), the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (Grant No. 2019L0178), the Key Research and Development Program of Shanxi Province (Grant No. 202102010101004), and the China Scholarship Council.

摘要/Abstract

摘要： We investigate the information exclusion principle for multiple measurements with assistance of multiple quantum memories that are well bounded by the upper and lower bounds. The lower bound depends on the observables' complementarity and the complementarity of uncertainty whilst the upper bound includes the complementarity of the observables, quantum discord, and quantum condition entropy. In quantum measurement processing, there exists a relationship between the complementarity of uncertainty and the complementarity of information. In addition, based on the information exclusion principle the complementarity of uncertainty and the shareability of quantum discord can exist as an essential factor to enhance the bounds of each other in the presence of quantum memory.

关键词: quantum correlation, information exclusion principle, entropic uncertainty relation

Abstract: We investigate the information exclusion principle for multiple measurements with assistance of multiple quantum memories that are well bounded by the upper and lower bounds. The lower bound depends on the observables' complementarity and the complementarity of uncertainty whilst the upper bound includes the complementarity of the observables, quantum discord, and quantum condition entropy. In quantum measurement processing, there exists a relationship between the complementarity of uncertainty and the complementarity of information. In addition, based on the information exclusion principle the complementarity of uncertainty and the shareability of quantum discord can exist as an essential factor to enhance the bounds of each other in the presence of quantum memory.

Key words: quantum correlation, information exclusion principle, entropic uncertainty relation

中图分类号: (Foundations of quantum mechanics; measurement theory)

03.65.Ta

03.65.Ud (Entanglement and quantum nonlocality) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)

Jun Zhang(张钧), Kan He(贺衎), Hao Zhang(张昊), and Chang-Shui Yu(于长水). Quantum correlation enhanced bound of the information exclusion principle[J]. 中国物理B, 2023, 32(9): 90301-090301.

Jun Zhang(张钧), Kan He(贺衎), Hao Zhang(张昊), and Chang-Shui Yu(于长水). Quantum correlation enhanced bound of the information exclusion principle[J]. Chin. Phys. B, 2023, 32(9): 90301-090301.

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Quantum correlation enhanced bound of the information exclusion principle

Quantum correlation enhanced bound of the information exclusion principle

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