Hardy's non-locality and generalized non-local theory

  • Authors:
  • Sujit K. Choudhary;Sibasish Ghosh;Guruprasad Kar;Samir Kunkri;Ramij Rahaman;Anirban Roy

  • Affiliations:
  • The Institute of Mathematical Sciences, Taramani, Chennai, India;The Institute of Mathematical Sciences, Taramani, Chennai, India;Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, India;Mahadevananda Mahavidyalaya, Monirampore, Barrackpore, West Bengal, India;Selmer Center, Department of Informatics, University of Bergen, Norway;Department of Physics, Assam University, Diphu, Assam, India

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2010

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Abstract

Hardy's non-locality theorem for multiple two-level systems is explored in the context ofgeneralized non-local theory. We find non-local but non-signaling probabilities satisfyingHardy's argument for two two-level and three two-level systems. Maximum probabilityof success of Hardy's argument is obtained for three two-level systems in quantum theoryas well as in a more generalized theory. Interestingly, the maximum in the generalizednon-local theory for both the two two-level systems and three two-level systems turnsout to be the same.