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A Finite Presentation of CNOT-Dihedral Operators

We give a finite presentation by generators and relations of the unitary operators expressible over the {CNOT, T, X} gate set, also known as CNOT-dihedral operators. To this end, we introduce a notion of normal form for CNOT-dihedral circuits and prove that every CNOT-dihedral operator admits a uniq...

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Autors principals: Matthew Amy, Jianxin Chen, Neil J. Ross
Format: Artigo
Idioma:Inglês
Publicat: Open Publishing Association 2018-02-01
Col·lecció:Electronic Proceedings in Theoretical Computer Science
Accés en línia:http://arxiv.org/pdf/1701.00140v4
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