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Quantitative complementarity relations in bipartite systems

2003/02/10 by Matthias Jakob, Jakob, Matthias, János A. Bergou +2 · 2 citations
Computer Science · Physics and Astronomy · #Advanced Algebra and Logic #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0302075

Revtex4, 4 pages, no figures

arxiv created 2003/02/10 · arxiv updated 2009/12/01

Abstract

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.

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