In quantum information theory, mutually unbiased bases in Hilbert space Cd are two orthonormal bases and such that the square of the magnitude of the inner product between any basis states and equals the inverse of the dimension d:
These bases are unbiased in the following sense: if a system is prepared in a state belonging to one of the bases, then all outcomes of the measurement with respect to the other basis will occur with equal probabilities.
Read more about Mutually Unbiased Bases: Overview, Existence Problem, The Problem of Finding A Maximal Set of MUBs When d = 6, Entropic Uncertainty Relations and MUBs, Mutually Unbiased Bases in Infinite Dimension Hilbert Spaces
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