Unified approach to quantum capacities: towards quantum noisy coding theorem

Preprint

13 March 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0003040

Abstract

Basing on unified approach to {\it all} kinds of quantum capacities we show that the rate of quantum information transmission is bounded by the maximal attainable rate of coherent information. Moreover, we show that, if for any bipartite state the one-way distillable entanglement is no less than coherent information, then one obtains Shannon-like formulas for all the capacities. The inequality also implies that the decrease of distillable entanglement due to mixing process does not exceed of corresponding loss information about a system.

Keywords

DISTILLABLE ENTANGLEMENT
COHERENT INFORMATION
QUANTUM CAPACITIES
UNIFIED APPROACH
CODING THEOREM
THEOREM BASING
QUANTUM NOISY
NOISY CODING

All Related Versions

Version 1, 2000-03-13, ArXiv
Published version: Physical Review Letters, 85 (2), 433.

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