Quantifying coherence of quantum channels based on the generalized α-z-relative R\'enyi entropy
Abstract
By using the Choi-Jamiokowski isomorphism, we propose a well-defined coherence measure of quantum channels based on the generalized α-z-relative R\'enyi entropy. In addition, we present an alternative coherence measure of quantum channels by quantifying the commutativity between the channels and the completely dephasing channels with the generalized α-z-relative R\'enyi entropy. Some elegant properties of the measures are illustrated in detail. Explicit formulas of these coherence measures are derived for some detailed typical quantum channels.
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