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Operational locality in global theories.

Lea Krämer1, Lídia Del Rio2,3

  • 1Institute for Theoretical Physics, ETH Zurich, Switzerland.

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Summary
This summary is machine-generated.

This study proposes agents as fundamental building blocks to derive physical theories and operational locality from signalling conditions. It connects local actions and observations, offering a new perspective on information processing in physical theories.

Keywords:
causalitylocalitynon-signalling

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Area of Science:

  • Foundations of quantum mechanics
  • Information theory
  • Theoretical physics

Background:

  • Locality is a key concept in global physical theories, enabling information-processing primitives like non-signalling.
  • Existing frameworks often derive primitives from locality, but an inverse approach is underexplored.

Purpose of the Study:

  • To explore an "it from bit" approach, using agents as fundamental units to derive physical theories.
  • To recover operational notions of locality from signalling conditions between agents.
  • To establish an operational link between local actions and local observations.

Main Methods:

  • Introduction of an operational model for agent state spaces and action ranges.
  • Formulation of secrecy conditions between agents.
  • Identification of locality aspects relevant to signalling.

Main Results:

  • Development of a framework to define physical theories based on agent interactions.
  • Demonstration of how signalling conditions can define operational locality.
  • Establishment of an "it from bit" connection between actions and observations.

Conclusions:

  • The proposed approach provides a novel perspective on physical theories by prioritizing agents and signalling.
  • This framework offers global interpretations for concepts like subsystem discarding and function composition.
  • Potential applications exist in quantum theory and generalized probability frameworks.