11 Discrimination of Quantum States

Bergou, János A.; Herzog, Ulrike; Hillery, Mark

doi:10.1007/978-3-540-44481-7_11

János A. Bergou¹,
Ulrike Herzog² &
Mark Hillery¹

Part of the book series: Lecture Notes in Physics ((LNP,volume 649))

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Abstract

The problem of discriminating among given nonorthogonal quantum states is underlying many of the schemes that have been suggested for quantum communication and quantum computing. However, quantum mechanics puts severe limitations on our ability to determine the state of a quantum system. In particular, nonorthogonal states cannot be discriminated perfectly, even if they are known, and various strategies for optimum discrimination with respect to some appropriately chosen criteria have been developed. In this article we review recent theoretical progress regarding the two most important optimum discrimination strategies. We also give a detailed introduction with emphasis on the relevant concepts of the quantum theory of measurement. After a brief introduction into the field, the second chapter deals with optimum unambiguous, i. e error-free, discrimination. Ambiguous discrimination with minimum error is the subject of the third chapter. The fourth chapter is devoted to an overview of the recently emerging subfield of discriminating multiparticle states. We conclude with a brief outlook where we attempt to outline directions of research for the immediate future.

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Authors and Affiliations

Department of Physics and Astronomy, Hunter College of The City University of New York, 695 Park Avenue, New York, NY 10021,
János A. Bergou & Mark Hillery
Institut für Physik, Humboldt-Universität Berlin, Newtonstrasse 15, 12489 Berlin, Germany
Ulrike Herzog

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János A. Bergou
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Ulrike Herzog
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Mark Hillery
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Matteo Paris Jaroslav Řeháček

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Bergou, J.A., Herzog, U., Hillery, M. 11 Discrimination of Quantum States. In: Paris, M., Řeháček, J. (eds) Quantum State Estimation. Lecture Notes in Physics, vol 649. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44481-7_11

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DOI: https://doi.org/10.1007/978-3-540-44481-7_11
Published: 18 August 2004
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22329-0
Online ISBN: 978-3-540-44481-7
eBook Packages: Springer Book Archive

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