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The Collective Trust Game: An Online Group Adaptation of the Trust Game Based on the HoneyComb Paradigm
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Communication Games Reveal Preparation Contextuality.

Alley Hameedi1, Armin Tavakoli1,2, Breno Marques3

  • 1Department of Physics, Stockholm University, S-10691 Stockholm, Sweden.

Physical Review Letters
|December 30, 2017
PubMed
Summary
This summary is machine-generated.

Communication games reveal preparation contextuality in physical theories. This study proves all quantum states are preparation contextual, confirmed by experiments with three-level quantum systems.

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Area of Science:

  • Quantum Information Theory
  • Foundations of Physics
  • Quantum Foundations

Background:

  • Communication games model distributed tasks with limited information exchange.
  • Preparation contextuality is a key feature distinguishing physical theories.
  • Operational theories provide a framework for analyzing physical systems.

Purpose of the Study:

  • To demonstrate that communication games can reveal preparation contextuality in operational theories.
  • To establish a link between communication game statistics and no-signaling correlations.
  • To prove the preparation contextuality of all mixed quantum states.

Main Methods:

  • Utilizing a specific family of communication games.
  • Establishing a correspondence between game statistics and spacelike separated, no-signaling correlations.
  • Applying theoretical proofs to quantum states of any finite dimension.

Main Results:

  • Communication games directly reveal the preparation contextuality of operational theories.
  • A direct correspondence is shown between communication game statistics and no-signaling correlations.
  • All mixed quantum states, regardless of dimension, are proven to be preparation contextual.

Conclusions:

  • Communication games are powerful tools for probing the fundamental properties of physical theories.
  • The preparation contextuality of quantum mechanics is a universal feature of all its mixed states.
  • Experimental verification using three-level quantum systems confirms the theoretical predictions.