Comparison of error probability bounds in quantum state discrimination

Roberto Corvaja
Phys. Rev. A 87, 042329 – Published 23 April 2013

Abstract

In quantum discrimination, the value of the minimum error probability and the set of measurement operators which achieve this minimum are often difficult to derive. Here we present a comparison of the performance obtained by the optimal solution and by the available bounds, namely the square root measurement (SRM) and the Chernoff bound. Applied to some Gaussian states, namely to coherent states with thermal noise, it is shown that the SRM provides a much tighter bound with respect to the Chernoff bound, with a comparable numerical complexity.

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  • Received 2 January 2013

DOI:https://doi.org/10.1103/PhysRevA.87.042329

©2013 American Physical Society

Authors & Affiliations

Roberto Corvaja*

  • Department of Information Engineering, University of Padova, Via G. Gradenigo 6/B - 35131 Padova, Italy

  • *corvaja@dei.unipd.it

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Vol. 87, Iss. 4 — April 2013

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