Exact Solutions of Holonomic Quantum Computation
arXiv:quant-ph/0312079 · doi:10.1016/j.physleta.2004.03.057
Abstract
Holonomic quantum computation is analyzed from geometrical viewpoint. We develop an optimization scheme in which an arbitrary unitary gate is implemented with a small circle in a complex projective space. Exact solutions for the Hadamard, CNOT and 2-qubit discrete Fourier transform gates are explicitly constructed.
11 pages, re-organized to be more comprehensive, references added, style file of Physics Letters A is needed