Physics – Quantum Physics
Scientific paper
2002-02-10
Physics
Quantum Physics
16 pages, some overlap with quant-ph/0111078, typos corrected
Scientific paper
A condition for determining the holonomy group associated to a principal bundle with connection is proven. Within the context of Holonomic Quantum Computation, this condition aids in determining the universality of the system. We apply the theory to the product bundle arising from the full two-qubit system of holonomic computation with squeezed coherent states and conclude that the control algebra generates the Lie algebra u(4).
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