Separability of a family of one-parameter W and Greenberger-Horne-Zeilinger multiqubit states using the Abe-Rajagopal q-conditional-entropy approach

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

DOI:https://doi.org/10.1103/PHYSREVA.76.042337· OSTI ID:21020706

Prabhu, R ^[1]; Usha Devi, A R ^[2]; Padmanabha, G ^[2]

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1. Department of Physics, Kuvempu University, Shankaraghatta, Shimoga-577 451 (India)
2. Department of Physics, Bangalore University, Bangalore-560 056 (India)

We employ conditional Tsallis q entropies to study the separability of symmetric one parameter W and GHZ multiqubit mixed states. The strongest limitation on separability is realized in the limit q{yields}{infinity}, and is found to be much superior to the condition obtained using the von Neumann conditional entropy (q=1 case). Except for the example of two qubit and three qubit symmetric states of GHZ family, the q-conditional entropy method leads to sufficient--but not necessary--conditions on separability.

• OSTI ID: 21020706
• Journal Information: Physical Review. A, Vol. 76, Issue 4; Other Information: DOI: 10.1103/PhysRevA.76.042337; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EIGENFUNCTIONS
EIGENVALUES
ENTROPY
MIXED STATE
QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
QUANTUM INFORMATION
QUBITS
SYMMETRY