0302075v1

related topics
{state, states, entangled}
{photon, photons, single}
{entanglement, phys, rev}
{particle, mechanics, theory}
{bell, inequality, local}
{phase, path, phys}
{vol, operators, histories}
{observables, space, algebra}

Quantitative complementarity relations in bipartite systems

Matthias Jakob, Janos A. Bergou

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.

oai_identifier:
oai:arXiv.org:quant-ph/0302075
categories:
quant-ph
comments:
Revtex4, 4 pages, no figures
arxiv_id:
quant-ph/0302075
created:
2003-02-10

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