Journal
OPTICS COMMUNICATIONS
Volume 283, Issue 5, Pages 827-830Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.optcom.2009.10.044
Keywords
Entanglement; Duality relations; Bell inequality
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Funding
- Office of Naval Research [N00014-92J-1233]
- EU-Network COCOMO [HPRN-CT-1999-00129]
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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. (C) 2009 Elsevier B.V. All rights reserved.
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