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Isometries of quantum states

Lajos Molnar, Werner Timmermann

math.OAarXiv:math/0211221

Abstract

This paper treats the isometries of metric spaces of quantum states. We consider two metrics on the set all quantum states, namely the Bures metric and the one 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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