Dynamical decoupling is an important tool to counter decoherence and
dissipation effects in quantum systems originating from environmental
interactions. It has been used successfully in many experiments; however, there
is still a gap between fidelity improvements achieved in practice compared to
theoretical predictions. We propose a model for imperfect dynamical decoupling
based on a stochastic Ito differential equation which could explain the
observed gap. We discuss the impact of our model on the time evolution of
various quantum systems in finite- and infinite-dimensional Hilbert spaces.
Analytical results are given for the limit of continuous control, whereas we
present numerical simulations and upper bounds for the case of finite control.
Description
Effects of stochastic noise on dynamical decoupling procedures
%0 Generic
%1 bernad2014effects
%A Bernád, J. Z.
%A Frydrych, H.
%D 2014
%K interesting
%R 10.1103/PhysRevA.89.062327
%T Effects of stochastic noise on dynamical decoupling procedures
%U http://arxiv.org/abs/1405.1852
%X Dynamical decoupling is an important tool to counter decoherence and
dissipation effects in quantum systems originating from environmental
interactions. It has been used successfully in many experiments; however, there
is still a gap between fidelity improvements achieved in practice compared to
theoretical predictions. We propose a model for imperfect dynamical decoupling
based on a stochastic Ito differential equation which could explain the
observed gap. We discuss the impact of our model on the time evolution of
various quantum systems in finite- and infinite-dimensional Hilbert spaces.
Analytical results are given for the limit of continuous control, whereas we
present numerical simulations and upper bounds for the case of finite control.
@misc{bernad2014effects,
abstract = {Dynamical decoupling is an important tool to counter decoherence and
dissipation effects in quantum systems originating from environmental
interactions. It has been used successfully in many experiments; however, there
is still a gap between fidelity improvements achieved in practice compared to
theoretical predictions. We propose a model for imperfect dynamical decoupling
based on a stochastic Ito differential equation which could explain the
observed gap. We discuss the impact of our model on the time evolution of
various quantum systems in finite- and infinite-dimensional Hilbert spaces.
Analytical results are given for the limit of continuous control, whereas we
present numerical simulations and upper bounds for the case of finite control.},
added-at = {2014-06-25T19:18:40.000+0200},
author = {Bernád, J. Z. and Frydrych, H.},
biburl = {https://www.bibsonomy.org/bibtex/24e3de041c8560ecef93e94684775f6c3/scavgf},
description = {Effects of stochastic noise on dynamical decoupling procedures},
doi = {10.1103/PhysRevA.89.062327},
interhash = {051aea6619087a48c6faedd7a7ec8e54},
intrahash = {4e3de041c8560ecef93e94684775f6c3},
keywords = {interesting},
note = {cite arxiv:1405.1852Comment: 15 pages, 6 figures},
timestamp = {2014-06-25T19:18:40.000+0200},
title = {Effects of stochastic noise on dynamical decoupling procedures},
url = {http://arxiv.org/abs/1405.1852},
year = 2014
}