Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevA.79.014104
Title: Inadequacy of a classical interpretation of quantum projective measurements via Wigner functions
Authors: Kalev, A. 
Mann, A.
Mello, P.A.
Revzen, M.
Issue Date: 5-Jan-2009
Citation: Kalev, A., Mann, A., Mello, P.A., Revzen, M. (2009-01-05). Inadequacy of a classical interpretation of quantum projective measurements via Wigner functions. Physical Review A - Atomic, Molecular, and Optical Physics 79 (1) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.79.014104
Abstract: We study the possibility of giving a classical interpretation to quantum projective measurements for a particle described by a pure Gaussian state whose Wigner function is non-negative. We analyze the case of a projective measurement which gives rise to a proper Wigner function-i.e., taking on, as its values, the eigenvalues of the projector. We find that, despite having this property, this kind of projector produces a state whose Wigner function ceases to be non-negative and hence precludes its interpretation as a classical probability density. We also study the general case in which the projected state has a non-negative Wigner function, but then we find that the Wigner function of the projector is not a proper one. Thus, we conclude that a non-negative Wigner function is inadequate to serve as a hidden-variable model for quantum processes in which projective measurements take place. © 2009 The American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/115146
ISSN: 10502947
DOI: 10.1103/PhysRevA.79.014104
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