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Sharing of Nonlocality of a Single Member of an Entangled Pair of Qubits Is Not Possible by More than Two Unbiased Observers on the Other Wing

Author

Listed:
  • Shiladitya Mal

    (S. N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata 700098, India)

  • Archan S. Majumdar

    (S. N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata 700098, India)

  • Dipankar Home

    (Center for Astroparticle Physics and Space Science, Bose Institute, Kolkata 700091, India)

Abstract

We address the recently posed question as to whether the nonlocality of a single member of an entangled pair of spin 1 / 2 particles can be shared among multiple observers on the other wing who act sequentially and independently of each other. We first show that the optimality condition for the trade-off between information gain and disturbance in the context of weak or non-ideal measurements emerges naturally when one employs a one-parameter class of positive operator valued measures (POVMs). Using this formalism we then prove analytically that it is impossible to obtain violation of the Clauser-Horne-Shimony-Holt (CHSH) inequality by more than two Bobs in one of the two wings using unbiased input settings with an Alice in the other wing.

Suggested Citation

  • Shiladitya Mal & Archan S. Majumdar & Dipankar Home, 2016. "Sharing of Nonlocality of a Single Member of an Entangled Pair of Qubits Is Not Possible by More than Two Unbiased Observers on the Other Wing," Mathematics, MDPI, vol. 4(3), pages 1-9, July.
    • Handle: RePEc:gam:jmathe:v:4:y:2016:i:3:p:48-:d:74103
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