Uncertainty and complementarity relations based on generalized skew information

2020/12/01 by Huaijing Huang, Zhaoqi Wu, Shao-Ming Fei
Computer Science · Physics and Astronomy · #Axiom #Complementarity (molecular biology) #Complementarity theory #Core (optical fiber) #Operator (biology) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Skew #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.1209/0295-5075/132/60007

published as EPL, 132 (2020) 60007 · 7 pages

openalex publication_date 2020/12/01 · openalex created_date 2021/03/15 · arxiv created 2021/08/05 · arxiv updated 2021/08/06 · openalex updated_date 2026/08/05

Abstract

Abstract Uncertainty relations and complementarity relations are core issues in quantum mechanics and quantum information theory. By use of the generalized Wigner-Yanase-Dyson (GWYD) skew information, we derive several uncertainty and complementarity relations with respect to mutually unbiased measurements (MUMs), and general symmetric informationally complete positive operator valued measurements (SIC-POVMs), respectively. Our results include some existing ones as particular cases. We also exemplify our results by providing a detailed example.

Citations

• Symmetric Informationally Complete Measurements of Arbitrary Rank
• The Uncertainty Principle
• �ber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik
• Symmetric informationally complete quantum measurements
• Uncertainty Relation Based on Wigner–Yanase–Dyson Skew Information with Quantum Memory
• Quantifying quantum coherence based on the generalized α α –z-relative R \acutee e ´ nyi entropy