English

Quantitative complementarity relations in bipartite systems

Quantum Physics 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.quant-ph/0302075,
  title  = {Quantitative complementarity relations in bipartite systems},
  author = {Matthias Jakob and Janos A. Bergou},
  journal= {arXiv preprint arXiv:quant-ph/0302075},
  year   = {2007}
}

Comments

Revtex4, 4 pages, no figures