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arxiv: quant-ph/0302075 · v1 · submitted 2003-02-10 · 🪐 quant-ph

Quantitative complementarity relations in bipartite systems

classification 🪐 quant-ph
keywords bipartitequantitativequantumrelationsystemscomplementarityconcurrenceduality
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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.

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