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Related Experiment Video

Updated: Jan 19, 2026

Absolute Quantum Yield Measurement of Powder Samples
14:20

Absolute Quantum Yield Measurement of Powder Samples

Published on: May 12, 2012

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Quantum measurements and contextuality.

Robert B Griffiths1

  • 1Department of Physics, Carnegie Mellon University, Pittsburgh, PA 15213, USA.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|September 17, 2019
PubMed
Summary
This summary is machine-generated.

Quantum mechanics is not Bell contextual, meaning measurements of observable A are unaffected by compatible observables B or C. However, global contextuality depends on joint probability distributions for incompatible observables.

Keywords:
Bellcontextualincompatible propertiesmeasurementquantum sample space

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Area of Science:

  • Quantum Physics
  • Foundations of Quantum Mechanics
  • Quantum Information Theory

Background:

  • The term 'contextual' in quantum physics has multiple interpretations.
  • Bell contextuality examines if measurement outcomes depend on the set of simultaneously measured observables.
  • Global contextuality concerns the existence of consistent joint probability distributions for collections of observables.

Purpose of the Study:

  • To analyze the different meanings of contextuality in quantum mechanics.
  • To determine if quantum theory is Bell contextual or globally contextual.
  • To clarify the role of joint probability distributions and quantum sample spaces.

Main Methods:

  • Analysis of projective quantum measurements.
  • Examination of Bell's concept of contextuality.
  • Investigation of joint probability distributions for incompatible observables.
  • Consideration of the tensor product structure of the quantum sample space.

Main Results:

  • Quantum theory is demonstrated to be Bell non-contextual.
  • The outcome of measuring observable A is independent of whether it's measured with compatible observable B or C.
  • A joint probability distribution can exist mathematically for incompatible observables, but may lack physical significance.
  • The quantum sample space possesses a tensor product structure.

Conclusions:

  • Quantum mechanics is Bell non-contextual, refuting the idea that measurement outcomes inherently depend on the experimental context.
  • Global contextuality is a separate concept, related to the existence of consistent probability assignments for sets of incompatible observables.
  • Understanding the structure of the quantum sample space is crucial for interpreting measurements of incompatible properties.