Entanglement detection via mutually unbiased bases

Details Entanglement detection via mutually unbiased bases Entanglement detection via mutually unbiased bases

2012-02-22

arxiv.org/abs/1202.5058v1

Physics

Quantum Physics

8 pages, 1 figure

Scientific paper

We investigate correlations among complementary observables. In particular, we show how to take advantage of mutually unbiased bases (MUBs) for the detection of entanglement in arbitrarily high-dimensional quantum systems. It is shown that their properties can be exploited to construct entanglement criteria which are experimentally implementable with few local measurement settings. The introduced concepts are not restricted to bipartite finite-dimensional systems, but are also applicable to continuous variables and multipartite systems. This is demonstrated by two examples -- the two-mode squeezed state and the Aharonov state. In addition, and more importantly from a theoretical point of view, we find a link between the separability problem and the maximum number of mutually unbiased bases.

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