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

Journal Article · Sun Jul 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.014305· OSTI ID:21011338

Nha, Hyunchul ^[1]

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1. ARC Center of Excellence for Quantum Computer Technology, University of Queensland, Brisbane, Australia and School of Computational Sciences, Korea Institute for Advanced Study, Seoul (Korea, Republic of)

The Schroedinger-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 Schroedinger-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.

• OSTI ID: 21011338
• Journal Information: Physical Review. A, Vol. 76, Issue 1; Other Information: DOI: 10.1103/PhysRevA.76.014305; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUND STATE
DATA COVARIANCES
PHASE SHIFT
QUANTUM ENTANGLEMENT
SCHROEDINGER EQUATION
SU-2 GROUPS