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Entanglement Theory Quantum Correlations Open Quantum Systems Decoherence

Completely mixed state is a critical point for three-qubit entanglement

arXiv

Authors: Sayatnova Tamaryan

Year

2010

Paper ID

10861

Status

Preprint

Abstract Read

~2 min

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Abstract

Pure three-qubit states have five algebraically independent and one algebraically dependent polynomial invariants under local unitary transformations and an arbitrary entanglement measure is a function of these six invariants. It is shown that if the reduced density operator of a some qubit is a multiple of the unit operator, than the geometric entanglement measure of the pure three-qubit state is absolutely independent of the polynomial invariants and is a constant for such tripartite states. Hence a one-particle completely mixed state is a critical point for the geometric measure of entanglement.

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Pure three-qubit states have five algebraically independent and one algebraically dependent polynomial invariants under local unitary transformations and an arbitrary...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.2848 [2] arXiv https://arxiv.org/abs/1010.2848 [3] Publisher https://arxiv.org/abs/1010.2848

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