Efficiency of Deterministic Entanglement Transformation

Details Efficiency of Deterministic Entanglement Transformation Efficiency of Deterministic Entanglement Transformation

2004-10-06

arxiv.org/abs/quant-ph/0410046v2

Phys. Rev. A 71, 022305 (2005)

Physics

Quantum Physics

7 pages, RevTex4. Journal version

Scientific paper

10.1103/PhysRevA.71.022305

We prove that sufficiently many copies of a bipartite entangled pure state can always be transformed into some copies of another one with certainty by local quantum operations and classical communication. The efficiency of such a transformation is characterized by deterministic entanglement exchange rate, and it is proved to be always positive and bounded from top by the infimum of the ratios of Renyi's entropies of source state and target state. A careful analysis shows that the deterministic entanglement exchange rate cannot be increased even in the presence of catalysts. As an application, we show that there can be two incomparable states with deterministic entanglement exchange rate strictly exceeding 1.

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