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

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 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.

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

References in corpus (3)

• Coding Theorem and Strong Converse for Quantum Channels
• Relating quantum privacy and quantum coherence: an operational approach
• The private classical capacity and quantum capacity of a quantum channel

Cited by in corpus (3)

• Quantum channels and their entropic characteristics
• Channel simulation with quantum side information
• Quantum capacity of lossy channel with additive classical Gaussian noise : a perturbation approach