Contextual Values of Observables in Quantum Measurements

2009/11/30 by J. Dressel, S. Agarwal, A. N. Jordan · 2 citations
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physrevlett.104.240401

published as Phys. Rev. Lett. 104, 240401 (2010) · Publication version, 4 pages, 2 figures

arxiv created 2010/06/15 · arxiv updated 2010/06/16

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.

Cited by

• Experimental evidence for the physical delocalization of individual photons in an interferometer
• What meter interference can tell us about the statistics of weak measurements

Related

• "Contextual weak values" of quantum measurements with positive measurement operators are not limited to the traditional weak value
• Counterexample to "Sufficient Conditions for uniqueness of the Weak Value" by J. Dressel and A. N. Jordan, arXiv:1106.1871v1
• Emergence of Weak Values
• Weak Values are Interference Phenomena
• Weak Measurements