The magic of universal quantum computing with permutations (Q1798435)

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The magic of universal quantum computing with permutations
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    The magic of universal quantum computing with permutations (English)
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    23 October 2018
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    Summary: 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 \(d \leq 9\) is performed.
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