Entanglement-breaking channels in infinite dimensions
Problems of Information Transmission
Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem
IEEE Transactions on Information Theory
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In this paper we consider the classical capacities of quantum-classical channels corresponding to measurement of observables. Special attention is paid to the case of continuous observables. We give formulas for unassisted and entanglement-assisted classical capacities C and C ea and consider some explicitly solvable cases, which give simple examples of entanglement-breaking channels with C C ea. We also elaborate on the ensemble-observable duality to show that C ea for the measurement channel is related to the 驴-quantity for the dual ensemble in the same way as C is related to the accessible information. This provides both accessible information and the 驴-quantity for quantum ensembles dual to our examples.