Christoph Spengler, Marcus Huber, Stephen Brierley, Theodor Adaktylos, Beatrix C. Hiesmayr
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.
View original:
http://arxiv.org/abs/1202.5058
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