Multiple-copy two-state discrimination with individual measurements

A. Acín, E. Bagan, M. Baig, Ll. Masanes, and R. Muñoz-Tapia
Phys. Rev. A 71, 032338 – Published 23 March 2005

Abstract

We address the problem of nonorthogonal two-state discrimination when multiple copies of the unknown state are available. We give the optimal strategy when only fixed individual measurements are allowed and show that its error probability saturates the collective (lower) bound asymptotically. We also give the optimal strategy when adaptivity of individual von Neumann measurements is allowed (which requires classical communication) and show that the corresponding error probability is exactly equal to the collective one for any number of copies. We show that this strategy can be regarded as Bayesian updating.

  • Received 13 October 2004

DOI:https://doi.org/10.1103/PhysRevA.71.032338

©2005 American Physical Society

Authors & Affiliations

A. Acín1, E. Bagan2, M. Baig2, Ll. Masanes3,4, and R. Muñoz-Tapia2

  • 1ICFO-Institut de Ciències Fotòniques, Jordi Girona 29, Edifici Nexus II, 08034 Barcelona, Spain
  • 2Grup de Física Teòrica, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain
  • 3School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom
  • 4Departament d’Estructura i Constituents de la Matèria, Universitat de Barcelona, 08028 Barcelona, Spain

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Issue

Vol. 71, Iss. 3 — March 2005

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