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Role of Measurement Incompatibility and Uncertainty in Determining Nonlocality

Author

Listed:
  • Guruprasad Kar

    (Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata 700108, India)

  • Sibasish Ghosh

    (Optics and Quantum Information Group, The Institute of Mathematical Sciences, C. I. T. Campus, Taramani, Chennai 600113, India)

  • Sujit K. Choudhary

    (Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, Odisha, India)

  • Manik Banik

    (Optics and Quantum Information Group, The Institute of Mathematical Sciences, C. I. T. Campus, Taramani, Chennai 600113, India)

Abstract

It has been recently shown that measurement incompatibility and fine grained uncertainty—a particular form of preparation uncertainty relation—are deeply related to the nonlocal feature of quantum mechanics. In particular, the degree of measurement incompatibility in a no-signaling theory determines the bound on the violation of Bell-CHSH inequality, and a similar role is also played by (fine-grained) uncertainty along with steering, a subtle non-local phenomenon. We review these connections, along with comments on the difference in the roles played by measurement incompatibility and uncertainty. We also discuss why the toy model of Spekkens (Phys. Rev. A 75, 032110 (2007)) shows no nonlocal feature even though steering is present in this theory.

Suggested Citation

  • Guruprasad Kar & Sibasish Ghosh & Sujit K. Choudhary & Manik Banik, 2016. "Role of Measurement Incompatibility and Uncertainty in Determining Nonlocality," Mathematics, MDPI, vol. 4(3), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:4:y:2016:i:3:p:52-:d:75969
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