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Structural features of sequential weak measurements

Lajos Diósi
Phys. Rev. A 94, 010103(R) – Published 7 July 2016

Abstract

We discuss the abstract structure of sequential weak measurement (WM) of general observables. In all orders, the sequential WM correlations without postselection yield the corresponding correlations of the Wigner function, offering direct quantum tomography through the moments of the canonical variables. Correlations in spin-12 sequential weak measurements coincide with those in strong measurements, they are constrained kinematically, and they are equivalent with single measurements. In sequential WMs with postselection, an anomaly occurs, different from the weak value anomaly of single WMs. In particular, the spread of polarization σ̂ as measured in double WMs of σ̂ will diverge for certain orthogonal pre- and postselected states.

  • Received 24 November 2015

DOI:https://doi.org/10.1103/PhysRevA.94.010103

©2016 American Physical Society

Physics Subject Headings (PhySH)

General Physics

Authors & Affiliations

Lajos Diósi*

  • Wigner Research Centre for Physics, H-1525 Budapest 114, P.O. Box 49, Hungary

  • *diosi.lajos@wigner.mta.hu

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Issue

Vol. 94, Iss. 1 — July 2016

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