Do mathematicians have a standard name for a pair of orthonormal bases {e_j} and {f_k} of a Hilbert space where |(e_j,f_k)| is independent of j,k? e.g. in C^n, f_k = (1/√n) Σ_{j=1..n} exp(2π j k i/n) e_j Is it “conjugate bases”, as in: https://en.wikipedia.org/wiki/Conjugate_variables …
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“It is an open question how many mutually unbiased bases one can find in C^d, for arbitrary d.” That surprised me for a moment ... then I recalled a very similar open problem: https://en.wikipedia.org/wiki/Hadamard_matrix#Hadamard_conjecture …
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