English

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

Quantum Physics 2007-05-23 v3

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.

Keywords

Cite

@article{arxiv.quant-ph/0311131,
  title  = {The capacity of a quantum channel for simultaneous transmission of classical and quantum information},
  author = {I. Devetak and P. W. Shor},
  journal= {arXiv preprint arXiv:quant-ph/0311131},
  year   = {2007}
}

Comments

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