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Revealing universal quantum contextuality through communication games.

A K Pan1

  • 1National Institute of Technology Patna, Ashok Rajhpath, Patna, 800005, India. akp@nitp.ac.in.

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Summary
This summary is machine-generated.

This study generalizes proofs for quantum contextuality, revealing universal non-classicality in quantum theory through communication games, even without non-locality.

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Area of Science:

  • Quantum Information Theory
  • Foundations of Quantum Mechanics

Background:

  • Universally noncontextual models require both preparation and measurement noncontextuality.
  • Quantum theory exhibits contextuality, challenging these assumptions.

Purpose of the Study:

  • Generalize proofs of quantum preparation and measurement contextuality for qubit systems.
  • Derive testable inequalities violated by quantum theory.
  • Propose communication games to reveal quantum non-classicality.

Main Methods:

  • Generalization of logical proofs for quantum contextuality.
  • Derivation of universally non-contextual inequalities.
  • Construction of two-party communication games.

Main Results:

  • Quantum theory violates derived universally non-contextual inequalities.
  • Communication games demonstrate non-classicality via violation of universal non-contextual bounds.
  • A weaker form of universal non-contextuality can be tested with minimal assumptions.

Conclusions:

  • Quantum theory exhibits non-classicality beyond non-locality through universal contextuality.
  • Communication games provide a viable method to test and reveal quantum contextuality.
  • The findings offer new perspectives on the foundations of quantum mechanics.