Valence bond solid formalism for d-level one-way quantum computation

Sean M Clark

Research output: Contribution to journalArticle (Academic Journal)peer-review

18 Citations (Scopus)

Abstract

The d-level or qudit one-way quantum computer (d1WQC) is described using the valence bond solid formalism and the generalized Pauli group. This formalism provides a transparent means of deriving measurement patterns for the implementation of quantum gates in the computational model. We introduce a new universal set of qudit gates and use it to give a constructive proof of the universality of d1WQC. We characterize the set of gates that can be performed in one parallel time step in this model.
Translated title of the contributionValence bond solid formalism for d-level one-way quantum computation
Original languageEnglish
Pages (from-to)2701 - 2721
Number of pages20
JournalJournal of Physics A: Mathematical and General
Volume39
Publication statusPublished - Mar 2006

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