Abstract: I give a short introduction into the field of holonomic quantum computations. The overview of the results concerning the resilience of this computational scheme with respect to various perturbations is presented. Particularly, I concentrate on the influence of the control errors on the stability of holonomic quantum computations. As an example, the robustness of Hadamard gate implemented on optical and ion trap holonomic quantum computers is investigated. The cancellation of the small squeezing control errors up to the fourth order on their magnitude in the expression for the gate fidelity is demonstrated. The decoherence induced by squeezing control errors is studied in this particular case when the control noise is modeled by Ornstein-Uhlenbeck stochastic process. The final qubit state purity and Hadamard gate fidelity oscillations depending on the choice of the initial superimposed state are demonstrated. A simple linear formula connecting the gate fidelity and the purity of the final state is derived.
Seminarsko predavanje bo v petek, 19. maja 2006 ob 15:15 uri v seminarski sobi CAMTP, Krekova 2, pritlicje. Vljudno vabljeni vsi zainteresirani, tudi študenti.