We provide a class of entanglement witnesses constructed in terms of mutually unbiased bases (MUBs). This construction reproduces many well-known examples such as the celebrated reduction map and the Choi map together with its generalizations. We illustrate our construction by a detailed analysis of the three-dimensional case: In this case, one obtains a family of entanglement witnesses parametrized by an L-dimensional torus ($L=2,3,4$ being a number of MUBs used in the construction).
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Chruściński et al. (2018) studied this question.
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