Exact Solutions of Holonomic Quantum Computation

Details Exact Solutions of Holonomic Quantum Computation Exact Solutions of Holonomic Quantum Computation

2003-12-09

arxiv.org/abs/quant-ph/0312079v4

Physics Letters A 325 (2004) 199-205

Physics

Quantum Physics

11 pages, re-organized to be more comprehensive, references added, style file of Physics Letters A is needed

Scientific paper

10.1016/j.physleta.2004.03.057

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.

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