Clifford algebras and universal sets of quantum gates

Details Clifford algebras and universal sets of quantum gates Clifford algebras and universal sets of quantum gates

2000-10-19

arxiv.org/abs/quant-ph/0010071v2

Phys. Rev. A 63 (2001) 054302

Physics

Quantum Physics

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

Scientific paper

10.1103/PhysRevA.63.054302

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.

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