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Quantum entanglement in a noncommutative system

Adhikari, S and Chakraborty, B and Majumdar, AS and Vaidya, S (2009) Quantum entanglement in a noncommutative system. In: Physical Review A, 79 (4). 042109-1-042109-18.

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Official URL: http://pra.aps.org/abstract/PRA/v79/i4/e042109

Abstract

We explore the effect of two-dimensional position-space noncommutativity on the bipartite entanglement of continuous-variable systems. We first extend the standard symplectic framework for studying entanglement of Gaussian states of commutative systems to the case of noncommutative systems residing in two dimensions. Using the positive partial transpose criterion for separability of bipartite states, we derive a condition on the separability of a noncommutative system that is dependent on the noncommutative parameter theta. We then consider the specific example of a bipartite Gaussian state and show the quantitative reduction in entanglement originating from noncommutative dynamics. We show that such a reduction in entanglement for a noncommutative system arising from the modification of the variances of the phase-space variables (uncertainty relations) is clearly manifested between two particles that are separated by small distances.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to American Physical Society.
Keywords: Gaussian processes;indeterminancy;quantum entanglement
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 09 Dec 2009 10:34
Last Modified: 29 Feb 2012 06:16
URI: http://eprints.iisc.ernet.in/id/eprint/20546

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