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Combining contextuality and causality: a game semantics approach.

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We introduce a novel framework merging quantum contextuality and causality. This approach models contextuality as a game between an experimenter and nature, enabling causal analysis of quantum systems and networks.

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Area of Science:

  • Quantum Information Science
  • Foundations of Physics
  • Theoretical Computer Science

Background:

  • Quantum contextuality is a fundamental property of quantum mechanics.
  • Causality is crucial for understanding information processing and physical theories.
  • Existing frameworks often struggle to integrate these concepts comprehensively.

Purpose of the Study:

  • To develop a unified approach combining quantum contextuality and causality.
  • To provide a general framework applicable to diverse quantum phenomena.
  • To explore the interplay between measurement choices and outcome determination in quantum systems.

Main Methods:

  • Modeling contextuality as a game between an 'Experimenter' and 'Nature'.
  • Incorporating causal dependencies in the actions of both players.
  • Generalizing existing concepts of causal networks and quantum computation.

Main Results:

  • The proposed approach successfully integrates contextuality and causality.
  • It offers a unified perspective on causal background structure, adaptive quantum computation, and causal networks.
  • The game-theoretic model provides a novel way to analyze quantum contextuality.

Conclusions:

  • The developed framework offers a powerful new tool for studying quantum foundations.
  • It opens avenues for advancements in quantum computation and causal inference.
  • This work highlights the deep connections between contextuality, causality, and the nature of quantum reality.