Entanglement detection via mutually unbiased bases
Christoph Spengler, Marcus Huber, STEPHEN D. BRIERLEY, Theodor Adaktylos, Beatrix C. Hiesmayr · Physical Review A · 2012
We investigate correlations among complementary observables. In particular, we show how to take advantage of mutually unbiased bases for the efficient detection of entanglement in arbitrarily high-dimensional, multipartite, and continuous-variable quantum systems. The introduced entanglement criteria are relatively easy to implement experimentally since they require only a few local measurement settings. In addition, we establish a link between the separability problem and the maximum number of mutually unbiased bases---opening an additional avenue in this long-standing open problem.