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Coherence of quantum channels

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arxiv 1907.07289 v1 pith:2NM66KAJ submitted 2019-07-16 quant-ph

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keywords quantumchannelscoherencetheorycaseincoherentstatesallows
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We investigate the coherence of quantum channels and establish a resource theory for quantifying the coherence of quantum channels via Choi matrix. To this aim, we define the incoherent channels and incoherent superchannels. This theory recovers the case of quantum states when we view quantum states as a special case of quantum channels and also, this theory allows some analytical expressions for coherence measures.

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Cited by 1 Pith paper

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  1. Coherence of quantum Gaussian channels

    quant-ph 2019-08 conditional novelty 5.0 of 10

    A resource theory for the coherence of Gaussian quantum channels is proposed, with structural characterizations of incoherent channels and superchannels and a computable relative-entropy measure.

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