Two-bit Gates Are Universal for Quantum Computation Typeset Using Revt E X 1

Abstract

A proof is given, which relies on the commutator algebra of the unitary Lie groups, that quantum gates operating on just two bits at a time are suucient to construct a general quantum circuit. The best previous result had shown the universality of three-bit gates, by analogy to the universality of the Tof-foli three-bit gate of classical reversible… (More)

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