The magic of universal quantum computing with permutations

The role of permutation gates for universal quantum computing is investigated. The \lq 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...

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Bibliographic Details
Published in:arXiv.org 2017-04
Main Authors: Planat, Michel, Rukhsan-Ul-Haq
Format: Article
Language:English
Subjects:
Computation
Eigenvectors
Permutations
Quantum computing
Online Access:Get full text
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Summary:The role of permutation gates for universal quantum computing is investigated. The \lq 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 main types of resulting magic states in low dimensions \(d \le 9\) is performed.
ISSN:2331-8422
DOI:10.48550/arxiv.1701.06443