Uncertainty relation based on Wigner-Yanase-Dyson skew information with quantum memory

Jun Li and Shao-Ming Fei

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Submission date: 17. Jul. 2018
Pages: 10
published in: Entropy, 20 (2018) 2, art-no. 132 
DOI number (of the published article): 10.3390/e20020132
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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, one is the quantum correlation between the measured system and the quantum memory. Detailed examples are given for product, separable and entangled states.