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Isometries of quantum states

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Published 10 December 2002 • Published under licence by IOP Publishing Ltd
, , Citation Lajos Molnár and Werner Timmermann 2003 J. Phys. A: Math. Gen. 36 267 DOI 10.1088/0305-4470/36/1/318

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Author affiliations

1 Institute of Mathematics and Informatics, University of Debrecen, H-4010 Debrecen, PO Box 12, Hungary

2 Institut für Analysis, Technische Universität Dresden, D-01062 Dresden, Germany

Dates

  1. Received 12 September 2002
  2. Published

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0305-4470/36/1/267

Abstract

This paper treats the isometries of metric spaces of quantum states. In fact, we consider two metrics on the set of all quantum states, namely the Bures metric and that which comes from the trace-norm. We describe all the corresponding (nonlinear) isometries and also present similar results concerning the space of all (non-normalized) density operators.

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10.1088/0305-4470/36/1/318