Qudits of composite dimension , mutually unbiased bases and projective ring geometry Michel

@inproceedings{Baboin2018QuditsOC,
  title={Qudits of composite dimension , mutually unbiased bases and projective ring geometry Michel},
  author={Anne-C{\'e}line Baboin},
  year={2018}
}
  • Anne-Céline Baboin
  • Published 2018
The d Pauli operators attached to a composite qudit in dimension d may be mapped to the vectors of the symplectic module Z d (Zd being the modular ring). As a result, perpendicular vectors correspond to commuting operators, a free cyclic submodule to a maximal commuting set, and disjoint such sets to mutually unbiased bases. For dimensions d = 6, 10, 15, 12, and 18, the fine structure and the incidence between maximal commuting sets is found to reproduce the projective line over the rings Z6… CONTINUE READING