Contextual Values of Observables in Quantum Measurements

Abstract

We introduce contextual values as a generalization of the eigenvalues of an observable that takes into account both the system observable and a general measurement procedure. This technique leads to a natural definition of a general conditioned average that converges uniquely to the quantum weak value in the minimal disturbance limit. As such, we address the controversy in the literature regarding the theoretical consistency of the quantum weak value by providing a more general theoretical framework and giving several examples of how that framework relates to existing experimental and theoretical results.

Publication version, 4 pages, 2 figures

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Cited by in corpus (78)

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• Observation of non-classical correlations in sequential measurements of photon polarization
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• Exploring postselection-induced quantum phenomena with time-bidirectional state formalism
• Interpreting weak value amplification with a toy realist model
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• "Contextual weak values" of quantum measurements with positive measurement operators are not limited to the traditional weak value
• Standard and Null Weak Values
• A weak-value model for virtual particles supplying the electric current in graphene: the minimal conductivity and the Schwinger mechanism
• Counterexample to "Sufficient Conditions for uniqueness of the Weak Value" by J. Dressel and A. N. Jordan, arXiv:1106.1871v1
• Sequential Strong Measurements and Heat Vision
• Proof gap in "Sufficient conditions for uniqueness of the Weak Value" by J. Dressel and A. N. Jordan, J. Phys. A 45 (2012) 015304
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• Measuring Incompatible Observables with Quantum Neural Networks