Uncertainty Relation Based on Wigner–Yanase–Dyson Skew Information with Quantum Memory

2018/02/20 by Jun Li, Shao-Ming Fei · 1 citation
Computer Science · Physics and Astronomy · #Advanced Frequency and Time Standards #Coherent information #Compatibility (geochemistry) #Entropic uncertainty #Product (mathematics) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum correlation #Quantum discord #Quantum information #Separable space #Skew #quant-ph

paper · pdf · doi:10.3390/e20020132

published as Entropy2018, 20(2), 132 · 9 pages, 6 figures

openalex publication_date 2018/02/20 · arxiv created 2018/02/23 · arxiv updated 2018/02/26 · openalex created_date 2018/03/06 · openalex updated_date 2026/08/05

Abstract

We present uncertainty relations based on Wigner-Yanase-Dyson skew information with quantum memory. Uncertainty inequalities both in product and summation forms are derived. It is shown that the lower bounds contain two terms: one characterizes the degree of compatibility of two measurements, and the other is the quantum correlation between the measured system and the quantum memory. Detailed examples are given for product, separable and entangled states.

Citations

• Quantum-enhanced measurements: beating the standard quantum limit
• Violation of local uncertainty relations as a signature of entanglement
• Proof of Heisenberg's error-disturbance relation
• Universal Uncertainty Relations
• �ber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• Entropic uncertainty relations and their applications

Cited by

• Uncertainty and complementarity relations based on generalized skew information