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

Journal Article · Mon Oct 15 04:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.042323· OSTI ID:21020692

Shengli, Zhang ^[1]; Xubo, Zou; Ke, Li; Guangcan, Guo ^[1]; Chenhui, Jin ^[2]

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1. Key Laboratory of Quantum Information, University of Science and Technology of China (CAS), Hefei 230026 (China)
2. Electronic Technology Institute, Information Engineering University, Zhengzhou, Henan 450004 (China)

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)D{sup 2}) with D denoting the dimension of the relevant quantum system.

• OSTI ID: 21020692
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 76; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMMUNICATIONS
INFORMATION THEORY
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS