Detecting entanglement of continuous variables with three mutually unbiased bases

E. C. Paul, D. S. Tasca, Łukasz Rudnicki, Stephen Patrick Walborn · Physical Review A · 2016

An uncertainty relation is introduced for a symmetric arrangement of three mutually unbiased bases in continuous-variable phase space, and then used to derive a bipartite entanglement criterion based on the variance of global operators composed of these three phase-space variables. We test this criterion using spatial variables of photon pairs and show that the entangled photons are correlated in three pairs of bases.

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