Entanglement detection via mutually unbiased bases

Understand

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.