Noiseless method for checking the Peres separability criterion by local operations and classical communication

Journal Article · Tue Nov 15 00:00:00 EST 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.72.0· OSTI ID:20786472

Yankui, Bai ^[1]; Shushen, Li; Houzhi, Zheng ^[2]

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1. State Key Laboratory for Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences, P.O. Box 912, Beijing 100083 (China)
2. State Key Laboratory for Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences, P. O. Box 912, Beijing 100083 (China)

We present a method for checking the Peres separability criterion in an arbitrary bipartite quantum state {rho}{sub AB} within local operations and classical communication scenario. The method does not require noise operation which is needed in making the partial transposition map physically implementable. The main task for the two observers, Alice and Bob, is to measure some specific functions of the partial transposed matrix. With these functions, they can determine the eigenvalues of {rho}{sub AB}{sup T{sub B}}, among which the minimum serves as an entanglement witness.

• OSTI ID: 20786472
• Journal Information: Physical Review. A, Vol. 72, Issue 5; Other Information: DOI: 10.1103/PhysRevA.72.052320; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
DATA TRANSMISSION
EIGENVALUES
FUNCTIONS
INFORMATION THEORY
MAPS
NOISE
OPERATION
QUANTUM ENTANGLEMENT
QUANTUM TELEPORTATION