Robustness against parametric noise of nonideal holonomic gates

Journal Article · Sun Jul 15 04:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.012309· OSTI ID:21011176

Lupo, Cosmo; Aniello, Paolo; Napolitano, Mario; Florio, Giuseppe ^[1]

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1. Universita di Napoli 'Federico II' and INFN, Sezione di Napoli, via Cintia I-80126 Naples (Italy)

Holonomic gates for quantum computation are commonly considered to be robust against certain kinds of parametric noise, the cause of this robustness being the geometric character of the transformation achieved in the adiabatic limit. On the other hand, the effects of decoherence are expected to become more and more relevant when the adiabatic limit is approached. Starting from the system described by Florio et al. [Phys. Rev. A 73, 022327 (2006)], here we discuss the behavior of nonideal holonomic gates at finite operational time, i.e., long before the adiabatic limit is reached. We have considered several models of parametric noise and studied the robustness of finite-time gates. The results obtained suggest that the finite-time gates present some effects of cancellation of the perturbations introduced by the noise which mimic the geometrical cancellation effect of standard holonomic gates. Nevertheless, a careful analysis of the results leads to the conclusion that these effects are related to a dynamical instead of a geometrical feature.

• OSTI ID: 21011176
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 76; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ADIABATIC PROCESSES
INFORMATION THEORY
NOISE
QUANTUM COMPUTERS
QUANTUM DECOHERENCE
QUANTUM MECHANICS