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Open AccessArticle

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

by Jun Li 1 and Shao-Ming Fei 1,2,*
1
School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
2
Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany
*
Author to whom correspondence should be addressed.
Entropy 2018, 20(2), 132; https://doi.org/10.3390/e20020132
Received: 2 January 2018 / Revised: 11 February 2018 / Accepted: 15 February 2018 / Published: 20 February 2018
(This article belongs to the Special Issue Quantum Foundations: 90 Years of Uncertainty)
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. View Full-Text
Keywords: uncertainty relation; Wigner–Yanase–Dyson skew information; quantum memory uncertainty relation; Wigner–Yanase–Dyson skew information; quantum memory
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Li, J.; Fei, S.-M. Uncertainty Relation Based on Wigner–Yanase–Dyson Skew Information with Quantum Memory. Entropy 2018, 20, 132.

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