Jiannis Pachos
Published 2000-03-31Version 1
A geometrical approach to quantum computation is presented, where a non-abelian connection is introduced in order to rewrite the evolution operator of an energy degenerate system as a holonomic unitary. For a simple geometrical model we present an explicit construction of a universal set of gates, represented by holonomies acting on degenerate states.
Comments: 6 pages, 2 figures, REVTEX, to be published in the AMS Contemporary Math Series volume entitled "Quantum Computation & Quantum Information Science"
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