Optimal estimation of an unknown maximally entangled state with local operations and classical communication

Shengli Zhang*, Xubo Zou, Ke Li, Chenhui Jin, Guangcan Guo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the optimal measurement procedures for estimating an unknown maximally entangled state with local operations and classical communications (LOCC). By the "optimal," we mean that there is no other LOCC measurements that can provide a higher estimation fidelity. In fact, we first use the positive partial transpose constraint to obtain an upper bound of the fidelity; then, we show there exists a kind of LOCC measurement that can attain such a bound. The estimation fidelity of the optimal LOCC estimation procedures is D+2 (D+1) D2 with D denoting the dimension of the relevant quantum system.

Original languageEnglish
Article number042323
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume76
Issue number4
DOIs
Publication statusPublished - 18 Oct 2007
Externally publishedYes

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