2002Journal of Optics B Quantum and Semiclassical OpticsOpen access

Improved discrimination of unitary transformations by entangled probes

G. M. D Ariano, Paoloplacido Lo Presti, Matteo G. A. Paris

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Abstract

We consider the problem of discriminating among a set of unitary transformations by means of measurements performed on the state undergoing the transformation. We show that the use of entangled probes improves the discrimination in the following two cases: (i) for a set of unitaries that are the unitary irreducible representation of a group; and (ii) for any pair of transformations provided that multiple uses of the channel are allowed.

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We consider the problem of discriminating among a set of unitary transformations by means of measurements performed on the state undergoing the transformation. We show that the use of entangled probes improves the discrimination in the following two cases: (i) for a set of unitaries that are the unitary irreducible representation of a group; and (ii) for any pair of transformations provided that multiple uses of the channel are allowed.

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Available abstract

We consider the problem of discriminating among a set of unitary transformations by means of measurements performed on the state undergoing the transformation. We show that the use of entangled probes improves the discrimination in the following two cases: (i) for a set of unitaries that are the unitary irreducible representation of a group; and (ii) for any pair of transformations provided that multiple uses of the channel are allowed.

Key concepts: Unitary state, Unitary transformation, Transformation (genetics), Set (abstract data type), Representation (politics), State (computer science), Unitary representation, Irreducible representation

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