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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 sufficient 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 Toffoli three-bit gate of classical reversible computing. Two-bit quantum gates may be implemented by magnetic resonance operations applied to a pair of electronic or nuclear spins. A "gearbox... (Update)
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BibTeX entry: (Update)
D. P. DiVincenzo. Two-bit gates are universal for quantum computation. Physical Review Letters A, 50(1015), (1995). http://citeseer.ist.psu.edu/divincenzo95twobit.html More
@article{ divincenzo95twobit,
author = "David P. Di Vincenzo",
title = "Two-bit gates are universal for quantum computation",
journal = "Physical Review A",
volume = "51",
number = "2",
pages = "1015--1022",
year = "1995",
url = "citeseer.ist.psu.edu/divincenzo95twobit.html" }
Citations (may not include all citations):173 Quantum complexity theory - Bernstein, Vazirani - 1993
144 the power of quantum computation - Simon - 1994
126 Rapid solution of problems by quantum computation (context) - Deutsch, Jozsa - 1992 ACM
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