Các Quan Hệ Bất Định Thông Qua Entropy cho (N, M)-POVMs

Springer Science and Business Media LLC - Tập 62 - Trang 1-14 - 2023
Fan Huang1,2,3, Liang Tang4, Ming-Qiang Bai1,2,3
1Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu, China
2Research Center of Sichuan Normal University, National-Local Joint Engineering Laboratory of System Credibility Automatic Verication, Chengdu, China
3School of Mathematical Sciences, Sichuan Normal University, Chengdu, China
4School of Science, Xihua University, Chengdu, China

Tóm tắt

Việc đặc trưng hóa các quan hệ bất định thông qua entropy là một chủ đề nóng hổi trong lý thuyết thông tin lượng tử. Trong bài báo này, các giới hạn entropy thấp phong phú, có khả năng thống nhất các quan hệ bất định entropy hiện có, được suy ra, bao gồm các entropy Tsallis, entropy Rényi, min-entropy và loại Maassen-Uffink dựa trên một gia đình rộng lớn các phép đo đối xứng hoàn toàn thông tin tổng quát. Hơn nữa, một số ví dụ chi tiết được đưa ra và cho thấy rằng các quan hệ bất định entropy được trình bày có sức mạnh và tính toàn diện hơn so với các quan hệ hiện có.

Từ khóa

#entropy #bất định #thông tin lượng tử #quan hệ bất định entropy #phép đo đối xứng hoàn toàn thông tin

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