Multipartite positive-partial-transpose inequalities exponentially stronger than local reality inequalities

Journal Article · Wed Aug 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.024101· OSTI ID:21016060

Nagata, Koji ^[1]

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1. Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701 (Korea, Republic of)

We show that positivity of every partial transpose of N-partite quantum states implies inequalities on Bell correlations which are stronger than standard Bell inequalities by a factor of 2{sup (N-1)/2}. A violation of the inequality implies that the system is in a bipartite distillable entangled state. It turns out that a family of N-qubit bound entangled states proposed by Duer [Phys. Rev. Lett. 87, 230402 (2001)] violates the inequality for N{>=}4.

• OSTI ID: 21016060
• Journal Information: Physical Review. A, Vol. 76, Issue 2; Other Information: DOI: 10.1103/PhysRevA.76.024101; (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
BELL THEOREM
CORRELATIONS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUBITS