Coherence monotones of quantum channels based on two generalized quantum relative entropies
Abstract
By using the Choi-Jamiokowski isomorphism, we propose two classes of coherence monotones of quantum channels based on the unified (r,s)-relative entropy and the sandwiched R\'enyi relative entropy. Elegant properties of the coherence monotones for quantum channels are explored. Moreover, we present the upper bounds of the coherence monotones and derive the explicit formulas of the coherence monotones for qubit unitary channels.
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