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Title: Robustness against parametric noise of nonideal holonomic gates

Abstract

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.

Authors:
; ; ;  [1]
  1. Universita di Napoli 'Federico II' and INFN, Sezione di Napoli, via Cintia I-80126 Naples (Italy)
Publication Date:
OSTI Identifier:
21011176
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 76; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.76.012309; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ADIABATIC PROCESSES; INFORMATION THEORY; NOISE; QUANTUM COMPUTERS; QUANTUM DECOHERENCE; QUANTUM MECHANICS

Citation Formats

Lupo, Cosmo, Aniello, Paolo, Napolitano, Mario, Florio, Giuseppe, and Universita di Bari and INFN, Sezione di Bari, I-70125 Bari. Robustness against parametric noise of nonideal holonomic gates. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.76.012309.
Lupo, Cosmo, Aniello, Paolo, Napolitano, Mario, Florio, Giuseppe, & Universita di Bari and INFN, Sezione di Bari, I-70125 Bari. Robustness against parametric noise of nonideal holonomic gates. United States. https://doi.org/10.1103/PHYSREVA.76.012309
Lupo, Cosmo, Aniello, Paolo, Napolitano, Mario, Florio, Giuseppe, and Universita di Bari and INFN, Sezione di Bari, I-70125 Bari. 2007. "Robustness against parametric noise of nonideal holonomic gates". United States. https://doi.org/10.1103/PHYSREVA.76.012309.
@article{osti_21011176,
title = {Robustness against parametric noise of nonideal holonomic gates},
author = {Lupo, Cosmo and Aniello, Paolo and Napolitano, Mario and Florio, Giuseppe and Universita di Bari and INFN, Sezione di Bari, I-70125 Bari},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.76.012309},
url = {https://www.osti.gov/biblio/21011176}, journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 76,
place = {United States},
year = {Sun Jul 15 00:00:00 EDT 2007},
month = {Sun Jul 15 00:00:00 EDT 2007}
}