Efficiency of deterministic entanglement transformation

Runyao Duan, Yuan Feng, Zhengfeng Ji, and Mingsheng Ying

Phys. Rev. A 71, 022305 – Published 10 February 2005

Abstract

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.

Received 6 October 2004

DOI:https://doi.org/10.1103/PhysRevA.71.022305

Authors & Affiliations

Runyao Duan^*, Yuan Feng^†, Zhengfeng Ji^‡, and Mingsheng Ying^§

State Key Laboratory of Intelligent Technology and Systems, Department of Computer Science and Technology, Tsinghua University, Beijing, China, 100084

^*Electronic address: dry02@mails.tsinghua.edu.cn
^†Electronic address: feng-y@tsinghua.edu.cn
^‡Electronic address: jizhengfeng98@mails.tsinghua.edu.cn
^§Electronic address: yingmsh@tsinghua.edu.cn

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Vol. 71, Iss. 2 — February 2005

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