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

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

2005-12-19

arxiv.org/abs/quant-ph/0512155v2

J. Phys. A: Math. Gen. 39 (2006) 2701-2721

Physics

Quantum Physics

26 pages, 9 figures. Published in Journal of Physics A: Mathematical and General

Scientific paper

10.1088/0305-4470/39/11/010

The d-level or qudit one-way quantum computer (d1WQC) is described using the valence bond solid formalism and the generalised 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 characterise the set of gates that can be performed in one parallel time step in this model.

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