Freudenthal ranks: GHZ versus W

L. Borsten

doi:10.1088/1751-8113/46/45/455303

Freudenthal ranks: GHZ versus W

L. Borsten

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

The Hilbert space of three-qubit pure states may be identified with a Freudenthal triple system. Every state has an unique Freudenthal rank ranging from 1 to 4, which is determined by a set of automorphism group covariants. It is shown here that the optimal success rates for winning a three-player non-local game, varying over all local strategies, are strictly ordered by the Freudenthal rank of the shared three-qubit resource.

Original language	English
Article number	455303
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	46
Issue number	45
DOIs	https://doi.org/10.1088/1751-8113/46/45/455303
Publication status	Published - 15 Nov 2013

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title = "Freudenthal ranks: GHZ versus W",

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AB - The Hilbert space of three-qubit pure states may be identified with a Freudenthal triple system. Every state has an unique Freudenthal rank ranging from 1 to 4, which is determined by a set of automorphism group covariants. It is shown here that the optimal success rates for winning a three-player non-local game, varying over all local strategies, are strictly ordered by the Freudenthal rank of the shared three-qubit resource.

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DO - 10.1088/1751-8113/46/45/455303

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Freudenthal ranks: GHZ versus W

Abstract

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