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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Entanglement condition via su(2) and su(1,1) algebra using Schr{ö}dinger-Robertson uncertainty relation

arXiv
Authors: Hyunchul Nha

Year

2007

Paper ID

50569

Status

Preprint

Abstract Read

~2 min

Abstract Words

87

Citations

N/A

Abstract

The Schr{ö}dinger-Robertson inequality generally provides a stronger bound on the product of uncertainties for two noncommuting observables than the Heisenberg uncertainty relation, and as such, it can yield a stricter separability condition in conjunction with partial transposition. In this paper, using the Schr{ö}dinger-Robertson uncertainty relation, the separability condition previously derived from the su(2) and the su(1,1) algebra is made stricter and refined to a form invariant with respect to local phase shifts. Furthermore, a linear optical scheme is proposed to test this invariant separability condition.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • The Schrödinger-Robertson inequality generally provides a stronger bound on the product of uncertainties for two noncommuting observables than the Heisenberg uncertainty...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0704.1939 [2] arXiv https://arxiv.org/abs/0704.1939 [3] Publisher https://arxiv.org/abs/0704.1939

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