Unified approach to quantum capacities: towards quantum noisy coding theorem
Michal Horodecki, Pawel Horodecki, Ryszard Horodecki
Abstract
Basing on unified approach to 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.
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