The capacity of a quantum channel for simultaneous transmission of classical and quantum information

Details The capacity of a quantum channel for simultaneous transmission of classical and quantum information The capacity of a quantum channel for simultaneous transmission of classical and quantum information

2003-11-19

arxiv.org/abs/quant-ph/0311131v3

Physics

Quantum Physics

16 pages, 3 figures. Presentation improved. "Degradable" spelled correctly

Scientific paper

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 formulae 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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