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

Sean Clark, Valence bond solid formalism for d-level one-way quantum computation. Journal of Physics A: Mathematical and General, 39. ISSN 0305-4470, pp. 2701–2721. March 2006. PDF, 365 Kbytes. External information

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.

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