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Quantum Information Processing

The resource theory of coherence for quantum channels

  • 01-07-2020
Published in:
Authors
F. H. Kamin
F. T. Tabesh
S. Salimi
F. Kheirandish
Published in
Quantum Information Processing | Issue 7/2020

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Abstract

We define the quantum-incoherent relative entropy of coherence (\(\mathcal {QI}\) REC) of quantum channels in the framework of the resource theory by using the Choi–Jamiolkowski isomorphism. Coherence-breaking channels are introduced as free operations and their corresponding Choi states as free states. We also show the relationship between the coherence of channel and the quantum discord and find that basis-dependent quantum asymmetric discord can never be more than the \(\mathcal {QI}\) REC for any quantum channels. Also, we prove the \(\mathcal {QI}\) REC is decreasing for any divisible quantum-incoherent channel and we also claim it can be considered as the quantumness of quantum channels. Moreover, we demonstrate that for qubit channels, the relative entropy of coherence (REC) can be equivalent to the REC of their corresponding Choi states and the basis-dependent quantum symmetric discord can never exceed the coherence.

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previous article Properties of operator systems, corresponding to channels
Title
The resource theory of coherence for quantum channels
Authors
F. H. Kamin
F. T. Tabesh
S. Salimi
F. Kheirandish
Publication date
01-07-2020
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02702-9
This content is only visible if you are logged in and have the appropriate permissions.

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