Analytical proof of Gisin's theorem for three qubits

Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.042107· OSTI ID:21413323

Choudhary, Sujit K; Ghosh, Sibasish ^[1]; Kar, Guruprasad ^[2]; Rahaman, Ramij ^[2]

---

1. The Institute of Mathematical Sciences, C. I. T. Campus, Taramani, Chennai 600113 (India)
2. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata 700 108 (India)

Gisin's theorem assures that for any pure bipartite entangled state, there is violation of the inequality of Bell and of Clauser, Horne, Shimony, and Holt, revealing its contradiction with local realistic model. Whether a similar result holds for three-qubit pure entangled states remained unresolved. We show analytically that all three-qubit pure entangled states violate a Bell-type inequality, derived on the basis of local realism, by exploiting the Hardy's nonlocality argument.

• OSTI ID: 21413323
• Journal Information: Physical Review. A, Vol. 81, Issue 4; Other Information: DOI: 10.1103/PhysRevA.81.042107; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BELL THEOREM
LOCALITY
QUANTUM ENTANGLEMENT
QUBITS
INFORMATION
QUANTUM INFORMATION