Optical Holonomic Quantum Computation

Details Optical Holonomic Quantum Computation Optical Holonomic Quantum Computation

2001-11-13

arxiv.org/abs/quant-ph/0111075v1

Physics

Quantum Physics

Contribution to ICQI 2001, 3pages, REVTEX)

Scientific paper

Holonomic quantum computation (HQC) is materialized here with quantum optics components. Holonomies are the generalization of the Berry phases to unitary matrices with dimensionality the same as the degree of degeneracy of the system. In a nonlinear Kerr medium the degenerate states of laser beams are interpreted as qubits. Control manipulations with displacers, squeezers and two-mode interfering devices performed in a cyclic, adiabatic fashion produce holonomies. Here, they are employed as logical gates for our HQC proposal. The effects of errors from imperfect control of classical parameters, the looping variation of which builds up holonomic gates, are investigated.

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