Quantitative complementarity relations in bipartite systems: Entanglement as a physical reality

We introduce a complete set of complementary quantities in bipartite, two-dimensional systems. Complementarity then relates the quantitative entanglement measure concurrence which is a bipartite property to the single-particle quantum properties predictability and visibility, for the most general qu...

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Bibliographic Details
Published in:Optics communications 2010-03, Vol.283 (5), p.827-830
Main Authors: Jakob, Matthias, Bergou, János A.
Format: Article
Language:English
Subjects:
Bell inequality
Bell's inequality
Duality relations
Entanglement
Qubits (quantum computing)
Two dimensional
Visibility
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Summary:We introduce a complete set of complementary quantities in bipartite, two-dimensional systems. Complementarity then relates the quantitative entanglement measure concurrence which is a bipartite property to the single-particle quantum properties predictability and visibility, for the most general quantum state of two qubits. Consequently, from an interferometric point of view, the usual wave–particle duality relation must be extended to a “triality” relation containing, in addition, the quantitative entanglement measure concurrence, which has no classical counterpart and manifests a genuine quantum aspect of bipartite systems. A generalized duality relation, that also governs possible violations of the Bell’s inequality, arises between single- and bipartite properties.
ISSN:0030-4018
1873-0310
DOI:10.1016/j.optcom.2009.10.044