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Asymptotically Optimal Discrimination between Pure Quantum States

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Theory of Quantum Computation, Communication, and Cryptography (TQC 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6519))

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Abstract

We consider the decision problem between a finite number of states of a finite quantum system, when an arbitrarily large number of copies of the system is available for measurements. We provide an upper bound on the exponential rate of decay of the averaged probability of rejecting the true state. It represents a generalized quantum Chernoff distance of a finite set of states. As our main result we prove that the bound is sharp in the case of pure states.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Cornell University, Ithaca, NY, USA

    Michael Nussbaum

  2. Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

    Arleta Szkoła

Authors
  1. Michael Nussbaum
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  2. Arleta Szkoła
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of California, 93106-5110, Santa Barbara, CA, USA

    Wim van Dam

  2. School of Physics and Astronomy, University of Leeds, LS2 9JT, Leeds, UK

    Vivien M. Kendon

  3. Department of Physics and Astronomy, University College London, WC1E 6BT, London, UK

    Simone Severini

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Nussbaum, M., Szkoła, A. (2011). Asymptotically Optimal Discrimination between Pure Quantum States. In: van Dam, W., Kendon, V.M., Severini, S. (eds) Theory of Quantum Computation, Communication, and Cryptography. TQC 2010. Lecture Notes in Computer Science, vol 6519. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18073-6_1

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  • DOI: https://doi.org/10.1007/978-3-642-18073-6_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-18072-9

  • Online ISBN: 978-3-642-18073-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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