Generalized reduction criterion for separability of quantum states

Journal Article · Mon Dec 01 04:00:00 EST 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.062313· OSTI ID:20640464

Albeverio, Sergio ^[1]; Kai, Chen ^[2]; Shaoming, Fei ^[1]

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1. Institut fuer Angewandte Mathematik, Universitaet Bonn, D-53115 Bonn (Germany)
2. Laboratory of Optical Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100080 (China)

A necessary separability criterion that relates the structures of the total density matrix and its reductions is given. The method used is based on the realignment method [K. Chen and L. A. Wu, Quant. Inf. Comput. 3, 193 (2003)]. The separability criterion naturally generalizes the reduction separability criterion introduced independently in the previous work [M. Horodecki and P. Horodecki, Phys. Rev. A 59, 4206 (1999) and N. J. Cerf, C. Adami, and R. M. Gingrich, Phys. Rev. A 60, 898 (1999)]. In special cases, it recovers the previous reduction criterion and the recent generalized partial transposition criterion [K. Chen and L. A. Wu, Phys. Lett. A 306, 14 (2002)]. The criterion involves only simple matrix manipulations and can therefore be easily applied.

• OSTI ID: 20640464
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 68; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CORRELATIONS
DENSITY MATRIX
EIGENFUNCTIONS
EIGENVALUES
ENERGY LEVELS
INFORMATION THEORY
QUANTUM MECHANICS