← Open problems
MUB-10.13
Do inequivalent complete sets of MU bases exist in prime dimensions?
In plain terms
Known to exist for d = p^n with n > 1; no example found for d prime.
Our position — ours alone, not the authors'
Existence question over prime dimensions -- a YES needs one object. Small primes are finite-ish. Worth a desk pass, but far from our instrument's strength.
Source
Daniel McNulty, Stefan Weigert, Mutually Unbiased Bases in Composite Dimensions -- A Review
Quantum 10, 2051 (2026) · §10.3
https://doi.org/10.22331/q-2026-04-01-2051
Licence:
CC-BY-4.0
— the problem statement is quoted here under that
licence, with attribution, and has not been modified