Entanglement detection via mutually unbiased bases

Christoph Spengler, Marcus Huber, Stephen Brierley, Theodor Adaktylos, Beatrix C. Hiesmayr

Published 2012-02-22, updated 2012-08-07Version 2

We investigate correlations among complementary observables. In particular, we show how to take advantage of mutually unbiased bases (MUBs) 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 a new avenue in this long-standing open problem.