Quantum Computation by Geometrical Means

Details Quantum Computation by Geometrical Means Quantum Computation by Geometrical Means

2000-03-31

arxiv.org/abs/quant-ph/0003150v1

Physics

Quantum Physics

6 pages, 2 figures, REVTEX, to be published in the AMS Contemporary Math Series volume entitled "Quantum Computation & Quantum

Scientific paper

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.

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