Coding theorems for hybrid channels. II

TL;DR

This paper extends the theoretical understanding of measurement channels' capacities in quantum information, providing coding theorems for classical and entanglement-assisted capacities without restrictive assumptions.

Contribution

It offers new coding theorems for measurement channels with arbitrary outputs, broadening the scope of quantum channel capacity analysis.

Findings

Proved coding theorems for classical capacity of measurement channels.

Established entanglement-assisted classical capacity results.

Generalized capacity results to channels with arbitrary output alphabets.

Abstract

The present work continues investigation of the capacities of measurement (quantum-classical) channels in the most general setting, initiated in~\cite{HCT}. 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.