Abstract
The present paper continues investigation of the capacities of measurement (quantum-classical) channels in the most general setting, initiated in [A. A. Kuznetsova and A. S. Holevo, Theory Probab. Appl., 58 (2014), pp. 264--285]. The proof of coding theorems is given for the classical capacity and entanglement-assisted classical capacity of the measurement channel with arbitrary output alphabet, without assuming that the channel is given by a bounded operator-valued density.
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