Entanglement condition via su(2) and su(1,1) algebra using Schrödinger-Robertson uncertainty relation

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Abstract

The Schrödinger-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 Schrödinger-Robertson uncertainty relation, the separability condition previously derived from the su(2) and 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.

Original languageEnglish
Article number014305
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume76
Issue number1
DOIs
Publication statusPublished - 16 Jul 2007
Externally publishedYes

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algebra
phase shift
products

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Physics and Astronomy(all)

Cite this

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