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Quantum Information Processing

Skew information-based uncertainty relations for quantum channels

  • 01-08-2019
Published in:
Authors
Shuangshuang Fu
Yuan Sun
Shunlong Luo
Published in
Quantum Information Processing | Issue 8/2019

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Abstract

The most general quantum measurements in quantum mechanics are described by quantum channels (quantum operations), and intrinsic uncertainties emerge from the state–channel interaction. In this paper, we study uncertainty relations for arbitrary quantum channels in terms of generalized skew information, which was introduced by Wigner and Yanase only for Hermitian operators and has recently been generalized to arbitrary operators. We illustrate the uncertainty relations by explicit examples. Specifically, for unitary channels we make a comparison between the new bounds and existing results.

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previous article Measurability of the polynomial invariant of degree 2 for even-N qubit states
next article CHSH inequalities with appropriate response function for POVM and their quantum violation
Title
Skew information-based uncertainty relations for quantum channels
Authors
Shuangshuang Fu
Yuan Sun
Shunlong Luo
Publication date
01-08-2019
Publisher
Springer US
Published in
Quantum Information Processing / Issue 8/2019
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-019-2371-x
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