Finding a state among a complete set of orthogonal states

Niko Donath and Karl Svozil
Phys. Rev. A 65, 044302 – Published 21 March 2002
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Abstract

We consider the problem to single out a particular state among 2n orthogonal pure states. As it turns out, in general the optimal strategy is not to measure the particles separately, but to consider joint properties of the n-particle system. The required number of propositions is n. There exist 2n! equivalent operational procedures to do so. We enumerate some configurations for three particles, in particular the Greenberger-Horne-Zeilinger (GHZ) and W states, which are specific cases of a unitary transformation. For the GHZ case, an explicit physical meaning of the projection operators is discussed.

  • Received 11 May 2001

DOI:https://doi.org/10.1103/PhysRevA.65.044302

©2002 American Physical Society

Authors & Affiliations

Niko Donath and Karl Svozil*

  • Institut für Theoretische Physik, University of Technology Vienna, Wiedner Hauptstraße 8-10/136, A-1040 Vienna, Austria

  • *Electronic address: svozil@tuwien.ac.at; http://tph.tuwien.ac.at/∼svozil

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Vol. 65, Iss. 4 — April 2002

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