Asymmetric multipartite Greenberger-Horne-Zeilinger states and Bell inequalities

Journal Article · Fri Oct 01 04:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.70.042106· OSTI ID:20646336

Gosal, Darwin; Oh, C H ^[1]; Kaszlikowski, Dagomir ^[1]; Kwek, L C ^[1]; Zukowski, M ^[2]

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1. Department of Physics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260 (Singapore)
2. Instytut Fizyki Teoretycznej i Astrofizyki, Uniwersytet Gdanski, PL-80-952, Gdansk (Poland)

We study the multiparticle generalized GHZ states. It has been shown that for an odd number of qubits and for a specific range of parameters, they do not violate any Bell inequality for correlation functions. We show here both analytically and numerically that, nevertheless, such states violate local realism, once a more detailed analysis of the correlations is made than the one allowed by correlation functions. The results imply that multiparticle Clauser-Horne-type inequalities involving probabilities are stronger tools for analyzing violations of local realism in multiparticle systems than inequalities involving the correlation functions.

• OSTI ID: 20646336
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 70; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ASYMMETRY
CORRELATION FUNCTIONS
CORRELATIONS
ENERGY LEVELS
PROBABILITY
QUANTUM MECHANICS