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Quantum relative positioning in Hilbert space

Vittorio Giovannetti·Rosario Fazio
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Abstract

A new class of state transformations that are quantum mechanically prohibited is introduced. These can be seen as the generalization of the universal-NOT transformation which, for all pure inputs state of a given Hilbert space produces pure outputs whose projection on the original state is fixed to a value smaller than one. The case of not pure output states is also addressed. We give an application of these transformations in the context of separability criteria.

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Vittorio Giovannetti, Rosario Fazio. 2005-02-23. Quantum relative positioning in Hilbert space. https://doi.org/10.1103/physreva.72.042319

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