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Investigation of quantum-entanglement simulation in random-variable theories augmented by either classical communication or nonlocal effects

Fahmi, A ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevA.92.052119
  3. Publisher: American Physical Society , 2015
  4. Abstract:
  5. Bell's theorem states that quantum mechanics is not a locally causal theory. This state is often interpreted as nonlocality in quantum mechanics. Toner and Bacon [Phys. Rev. Lett. 91, 187904 (2003)PRLTAO0031-900710.1103/PhysRevLett.91.187904] have shown that a shared random-variable theory augmented by one bit of classical communication exactly simulates the Bell correlation in a singlet state. In this paper, we show that in Toner and Bacon protocol, one of the parties (Bob) can deduce another party's (Alice) measurement outputs, if she only informs Bob of one of her own outputs. Afterwards, we suggest a nonlocal version of Toner and Bacon protocol wherein classical communications is replaced by nonlocal effects, so that Alice's measurements cause instantaneous effects on Bob's outputs. In the nonlocal version of Toner and Bacon's protocol, we get the same result again. We also demonstrate that the same approach is applicable to Svozil's protocol
  6. Keywords:
  7. Bells ; Quantum entanglement ; Random variables ; Bell correlations ; Bell's theorem ; Causal theory ; Classical communication ; Non-local effect ; Nonlocalities ; Singlet state ; Variable theory ; Quantum theory
  8. Source: Physical Review A - Atomic, Molecular, and Optical Physics ; Volume 92, Issue 5 , November , 2015 ; 10502947 (ISSN)
  9. URL: http://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.052119