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Quantum Information Processing

Quantifying coherence of quantum channels via trace distance

  • 01-09-2022
Published in:
Authors
Yajing Fan
Xia Guo
Xiaoyue Yang
Published in
Quantum Information Processing | Issue 9/2022

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Abstract

This article introduces a new measure for quantifying coherence in quantum channels using trace distance, a method that is both intuitive and computationally feasible. The authors demonstrate the advantages of this measure through a series of examples, including the coherence measures of depolarizing, phase damping, and amplitude damping quantum channels. They also provide a thorough analysis of the measure's properties, such as extremal property, monotonicity, convexity, and non-additivity. Notably, the measure is shown to be non-additive under the composition of channels, highlighting the complexity of quantum coherence. The article concludes by providing a sufficient condition for a quantum channel to be coherent, offering a valuable contribution to the field of quantum information theory.
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previous article Optimal resource allocation of quantum digital signatures with machine learning
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Title
Quantifying coherence of quantum channels via trace distance
Authors
Yajing Fan
Xia Guo
Xiaoyue Yang
Publication date
01-09-2022
Publisher
Springer US
Published in
Quantum Information Processing / Issue 9/2022
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-022-03683-7
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