Abstract
An expression is derived characterizing the set of admissible rate pairs for simultaneous transmission of classical and quantum information over a given quantum channel, generalizing both the classical and quantum capacities of the channel. Although our formula involves regularization, i.e. taking a limit over many copies of the channel, it reduces to a single-letter expression in the case of generalized dephasing channels. Analogous formulas are conjectured for the simultaneous public-private capacity of a quantum channel and for the simultaneously 1-way distillable common randomness and entanglement of a bipartite quantum state.
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Communicated by M.B. Ruskai
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Devetak, I., Shor, P. The Capacity of a Quantum Channel for Simultaneous Transmission of Classical and Quantum Information. Commun. Math. Phys. 256, 287–303 (2005). https://doi.org/10.1007/s00220-005-1317-6
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DOI: https://doi.org/10.1007/s00220-005-1317-6