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Constructor theory of probability.

Chiara Marletto1

  • 1Department of Materials , University of Oxford , Oxford , UK.

Proceedings. Mathematical, Physical, and Engineering Sciences
|September 13, 2016
PubMed
Summary
This summary is machine-generated.

Unitary quantum theory is non-probabilistic, posing challenges for measurement unpredictability. Constructor theory resolves this by showing unpredictability arises naturally in local, non-probabilistic superinformation theories.

Keywords:
Born Ruleconstructor theoryprobabilityquantum physics

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Area of Science:

  • Quantum Physics
  • Information Theory
  • Philosophy of Science

Background:

  • Unitary quantum theory lacks a Born Rule, making it non-probabilistic.
  • Reconciling non-probabilistic quantum mechanics with apparent measurement stochasticity is a key challenge.
  • Existing decision-theoretic approaches offer partial solutions.

Purpose of the Study:

  • To recast the problem of quantum measurement unpredictability within constructor theory.
  • To demonstrate that unpredictability is a necessary feature of constructor-theory compliant superinformation theories.
  • To establish conditions under which these theories support decision-making as if probabilistic.

Main Methods:

  • Generalizing and improving the decision-theoretic approach.
  • Representing quantum theory as a superinformation theory within constructor theory.
  • Applying a Deutsch-Wallace-type argument to decision-supporting superinformation theories.

Main Results:

  • Proving that measurement outcome unpredictability necessarily arises in superinformation theories.
  • Explaining the appearance of stochasticity in repeated measurements.
  • Identifying conditions for superinformation theories to be decision-supporting.

Conclusions:

  • Constructor theory provides a framework for understanding quantum unpredictability.
  • The appearance of stochasticity can be explained within non-probabilistic theories.
  • The decision-theoretic argument's applicability is extended to constructor-theory compliant theories.