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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 d≤9 is performed.doi:10.1155/2017/5287862 fatcat:7td34h5horgg3l4wez7ibnvnwm