Clifford algebras and universal sets of quantum gates

Abstract

In this paper is shown an application of Clifford algebras to the construction of computationally universal sets of quantum gates for $n$-qubit systems. It is based on the well-known application of Lie algebras together with the especially simple commutation law for Clifford algebras, which states that all basic elements either commute or anticommute.

4 pages, REVTeX (2 col.), low-level language corrections, PRA

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