Characterization of multiqubit pure-state entanglement

Journal Article · Wed Mar 15 00:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.0· OSTI ID:20787011

Zeqian, Chen; Quanhua, Xu ^[1]

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1. State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics and United Laboratory of Mathematical Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, 30 West District, Xiao-Hong-Shan, P. O. Box 71010, Wuhan 430071 (China)

A necessary and sufficient entanglement criterion based on variances of Mermin-Klyshko's Bell operators is proved for multiqubit pure states. Contrary to Bell's inequalities, entangled pure states strictly satisfy a quadratic inequality but product ones can attain the equality under some local unitary transformations, which can be obtained by solving a quadratic maximum problem. This presents a characterization of multiqubit pure-state entanglement.

• OSTI ID: 20787011
• Journal Information: Physical Review. A, Vol. 73, Issue 3; Other Information: DOI: 10.1103/PhysRevA.73.034306; (c) 2006 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
BELL THEOREM
ENERGY LEVELS
QUANTUM ENTANGLEMENT
QUANTUM OPERATORS
QUBITS
TRANSFORMATIONS
UNITARITY