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Quantum Information Processing

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01-06-2019

Monotonicity of skew information and its applications in quantum resource theory

Author: Weijing Li

Published in: Quantum Information Processing | Issue 6/2019

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Abstract

An alternative proof about the monotonicity of skew information via operator algebra approach is formulated. Furthermore, the strong monotonicity of skew information under particular quantum Trace-Preserving and Completely Positive maps is confirmed. A family of new quantum resource measures is introduced if the resource can be characterized by a resource destroying map and the free operation should be also modified. The proposed measure is easy-calculating and applicable to the quantum coherence resource theory as well as the quantum asymmetry theory. The operational interpretation needs to be further investigated.

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Title: Monotonicity of skew information and its applications in quantum resource theory
Author: Weijing Li
Publication date: 01-06-2019
Publisher: Springer US
Published in: Quantum Information Processing / Issue 6/2019
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-019-2284-8

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