The magic of universal quantum computing with permutations

@article{Planat2017TheMO,
  title={The magic of universal quantum computing with permutations},
  author={Michel Planat and Rukhsan-Ul-Haq},
  journal={Advances in Mathematical Physics},
  year={2017},
  volume={2017},
  pages={1-9}
}
The role of permutation gates for universal quantum computing is investigated. The “magic” of computation is clarified in the permutation gates, their eigenstates, the Wootters discrete Wigner function, and state-dependent contextuality (following many contributions on this subject). A first classification of a few types of resulting magic states in low dimensions is performed. 
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