Entanglement detection via mutually unbiased bases
By C. Spengler, Marcus Huber, Stephen Brierley, Theodor Adaktylos, B. Hiesmayr. 2012
196 citations recorded by the source corpus.
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.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/83f6b50162b7dd600cbba06c9897a2bb2c653c06
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Creation and detection of optical modes with spatial light modulators (2016, unknown): “superposition states of the pure states [150].”
- EPR-based ghost imaging using a single-photon-sensitive camera (2012, background): “The ability to show strong correlations in complementary variables, such as in momentum and position, is the hallmark of entanglement and is not possible with a classical source [16, 29].”