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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Freudenthal ranks: GHZ vs. W

arXiv
Authors: L. Borsten

Year

2013

Paper ID

33284

Status

Preprint

Abstract Read

~2 min

Abstract Words

68

Citations

N/A

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.

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  • The Hilbert space of three-qubit pure states may be identified with a Freudenthal triple system.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1308.2168 [2] arXiv https://arxiv.org/abs/1308.2168 [3] Publisher https://arxiv.org/abs/1308.2168

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