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Title: Quantum nonlocality of four-qubit entangled states

Abstract

We derive a Bell inequality for testing violation of local realism. Quantum nonlocality of several four-qubit states is investigated. These include the Greenberger-Zeilinger-Horne (GHZ) state, W state, linear cluster state, and the state |{chi}> that has recently been proposed in [Phys. Rev. Lett. 96, 060502 (2006)]. The Bell inequality is optimally violated by |{chi}> but not violated by the GHZ state. The linear cluster state also violates the Bell inequality though not optimally. The state |{chi}> can thus be discriminated from the linear cluster state by using the inequality. Different aspects of four-partite entanglement are also studied by considering the usefulness of a family of four-qubit mixed states as resources for two-qubit teleportation. Our results generalize those in [Phys. Rev. Lett. 72, 797 (1994)].

Authors:
; ;  [1];  [1];  [2]
  1. Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542 (Singapore)
  2. (Singapore)
Publication Date:
OSTI Identifier:
20982278
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.032332; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BELL THEOREM; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; QUANTUM TELEPORTATION; QUBITS; TESTING

Citation Formats

Wu, Chunfeng, Yeo, Ye, Oh, C. H., Kwek, L. C., and Nanyang Technological University, National Institute of Education, 1 Nanyang Walk, Singapore 637616. Quantum nonlocality of four-qubit entangled states. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.032332.
Wu, Chunfeng, Yeo, Ye, Oh, C. H., Kwek, L. C., & Nanyang Technological University, National Institute of Education, 1 Nanyang Walk, Singapore 637616. Quantum nonlocality of four-qubit entangled states. United States. doi:10.1103/PHYSREVA.75.032332.
Wu, Chunfeng, Yeo, Ye, Oh, C. H., Kwek, L. C., and Nanyang Technological University, National Institute of Education, 1 Nanyang Walk, Singapore 637616. Thu . "Quantum nonlocality of four-qubit entangled states". United States. doi:10.1103/PHYSREVA.75.032332.
@article{osti_20982278,
title = {Quantum nonlocality of four-qubit entangled states},
author = {Wu, Chunfeng and Yeo, Ye and Oh, C. H. and Kwek, L. C. and Nanyang Technological University, National Institute of Education, 1 Nanyang Walk, Singapore 637616},
abstractNote = {We derive a Bell inequality for testing violation of local realism. Quantum nonlocality of several four-qubit states is investigated. These include the Greenberger-Zeilinger-Horne (GHZ) state, W state, linear cluster state, and the state |{chi}> that has recently been proposed in [Phys. Rev. Lett. 96, 060502 (2006)]. The Bell inequality is optimally violated by |{chi}> but not violated by the GHZ state. The linear cluster state also violates the Bell inequality though not optimally. The state |{chi}> can thus be discriminated from the linear cluster state by using the inequality. Different aspects of four-partite entanglement are also studied by considering the usefulness of a family of four-qubit mixed states as resources for two-qubit teleportation. Our results generalize those in [Phys. Rev. Lett. 72, 797 (1994)].},
doi = {10.1103/PHYSREVA.75.032332},
journal = {Physical Review. A},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}