Control algebra for holonomic quantum computation with squeezed coherent states

Details Control algebra for holonomic quantum computation with squeezed coherent states Control algebra for holonomic quantum computation with squeezed coherent states

2002-02-10

arxiv.org/abs/quant-ph/0202055v3

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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