ON THE IMPOSSIBILITY TO EXTEND TRIPLES OF MUTUALLY UNBIASED PRODUCT BASES IN DIMENSION SIX

@article{McNulty2012ONTI,
  title={ON THE IMPOSSIBILITY TO EXTEND TRIPLES OF MUTUALLY UNBIASED PRODUCT BASES IN DIMENSION SIX},
  author={D. McNulty and S. Weigert},
  journal={International Journal of Quantum Information},
  year={2012},
  volume={10},
  pages={1250056}
}
  • D. McNulty, S. Weigert
  • Published 2012
  • Mathematics, Physics
  • International Journal of Quantum Information
An analytic proof is given which shows that it is impossible to extend any triple of mutually unbiased (MU) product bases in dimension six by a single MU vector. Furthermore, the 16 states obtained by removing two orthogonal states from any MU product triple cannot figure in a (hypothetical) complete set of seven MU bases. These results follow from exploiting the structure of MU product bases in a novel fashion, and they are among the strongest ones obtained for MU bases in dimension six… Expand
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  • M. Kibler
  • Mathematics, Computer Science
  • Entropy
  • 2013
On mutually unbiased bases: Passing from d to d**2
ON TWO WAYS TO LOOK FOR MUTUALLY UNBIASED BASES
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