Abstract

Holonomic quantum computation (HQC) is materialized here with quantum optics components. Holonomies are the generalization of the Berry phases to unitary matrices. In a nonlinear Kerr medium the degenerate states of a laser beams are interpreted as qubits. Control manipulations with displacers, squeezers and two-mode interfering devices in a cyclic, adiabatic fashion produces holonomies. Hence, 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 also investigated. Additionally, the influence of quantum decoherence on holonomic tele-portation used as a computational primitive is studied, and particular features of control error resilience are discussed.

© 2001 Optical Society of America