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Paper   IPM / Physic / 14412
School of Physics
  Title:   Investigation of Quantum Entanglement Simulation by Random Variables Theories Augmented by Either Classical Communication or Non-Local Effects
  Author(s):  A. Fahmi
  Status:   Published
  Journal: Phys. Rev. A
  Vol.:  92
  Year:  2015
  Pages:   052119
  Supported by:  IPM
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)] have shown that a shared random-variables 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.

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