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R Horodecki

Publications and source records attributed to R Horodecki.

5 recordsLinked to original sources
PubMed2000

Unified approach to quantum capacities: towards quantum noisy coding theorem

Based on a 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 the mixing process does not exceed that of the corresponding loss of information about a system.

Journal Article↗
PubMed2000

Asymptotic manipulations of entanglement can exhibit genuine irreversibility

It is commonly believed that distillation of entanglement can be, in general, irreversible. Perhaps the strongest evidence is constituted by the existence of the bound entangled states. However, even a single example of state exhibiting this irreversibility has not been found so far. We show that for a family of states the process of distillation of entanglement is truly irreversible. These states have a nonzero amount of bound entanglement and, at most, a very small amount of free entanglement.

Journal Article↗
PubMed2000

Limits for entanglement measures.

The basic principle of entanglement processing says that entanglement cannot increase under local operations and classical communication. Based on this principle, we show that any entanglement measure E suitable for the regime of a high number of identically prepared entangled pairs satisfies ED < or = E < or = EF, where ED and EF are the entanglement of distillation and formation, respectively. Moreover, we exhibit a theorem establishing a very general form of bounds for distillable entanglement.

Journal Article↗