Nonclassicality of states and measurements by breaking classical bounds on statistics

Ángel Rivas and Alfredo Luis
Phys. Rev. A 79, 042105 – Published 24 April 2009

Abstract

We derive exceedingly simple practical procedures revealing the quantum nature of states and measurements by the violation of classical upper bounds on the statistics of arbitrary measurements. Data analysis is minimum, and definite conclusions are obtained without evaluation of moments or any other more sophisticated procedures. These nonclassical tests are independent of other typical quantum signatures such as sub-Poissonian statistics, quadrature squeezing, or oscillatory statistics. This approach can be equally well applied to very diverse situations such as single- and two-mode fields, observables with continuous and discrete spectra, finite- and infinite-dimensional systems, and ideal and noisy measurements.

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  • Received 19 September 2008

DOI:https://doi.org/10.1103/PhysRevA.79.042105

©2009 American Physical Society

Authors & Affiliations

Ángel Rivas*

  • School of Physics, Astronomy, and Mathematics, University of Hertfordshire, College Lane, Hatfield, Hertfordshire AL10 9AB, United Kingdom

Alfredo Luis

  • Departamento de Óptica, Facultad de Ciencias Físicas, Universidad Complutense, 28040 Madrid, Spain

  • *a.rivas@herts.ac.uk
  • URL: http://www.ucm.es/info/gioq; alluis@fis.ucm.es

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Issue

Vol. 79, Iss. 4 — April 2009

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