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Entanglement Theory Quantum Correlations

The stabilizer dimension of graph states

arXiv

Authors: D. H. Zhang, H. Fan, D. L. Zhou

Year

2009

Paper ID

9306

Status

Preprint

Abstract Read

~2 min

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N/A

Abstract

The entanglement properties of a multiparty pure state are invariant under local unitary transformations. The stabilizer dimension of a multiparty pure state characterizes how many types of such local unitary transformations existing for the state. We find that the stabilizer dimension of an n-qubit $nge 2$ graph state is associated with three specific configurations in its graph. We further show that the stabilizer dimension of an n-qubit $nge 3$ graph state is equal to the degree of irreducible two-qubit correlations in the state.

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The entanglement properties of a multiparty pure state are invariant under local unitary transformations.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0901.1435 [2] arXiv https://arxiv.org/abs/0901.1435 [3] Publisher https://arxiv.org/abs/0901.1435

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