There is no generalization of known formulas for mutually unbiased bases

  title={There is no generalization of known formulas for mutually unbiased bases},
  author={Claude O. Archer},
  journal={Journal of Mathematical Physics},
  • C. Archer
  • Published 26 December 2003
  • Mathematics
  • Journal of Mathematical Physics
In a quantum system having a finite number N of orthogonal states, two orthonormal bases {ai} and {bj} are called mutually unbiased if all inner products ⟨ai∣bj⟩ have the same modulus 1∕N. This concept appears in several quantum information problems. The number of pairwise mutually unbiased bases is at most N+1 and various constructions of such N+1 bases have been found when N is a power of a prime number. We study families of formulas that generalize these constructions to arbitrary dimensions… 
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