In quantum information theory, **mutually unbiased bases** in Hilbert space **C***d* 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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