skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Combining dynamical decoupling with fault-tolerant quantum computation

Abstract

We study how dynamical decoupling (DD) pulse sequences can improve the reliability of quantum computers. We prove upper bounds on the accuracy of DD-protected quantum gates and derive sufficient conditions for DD-protected gates to outperform unprotected gates. Under suitable conditions, fault-tolerant quantum circuits constructed from DD-protected gates can tolerate stronger noise and have a lower overhead cost than fault-tolerant circuits constructed from unprotected gates. Our accuracy estimates depend on the dynamics of the bath that couples to the quantum computer and can be expressed either in terms of the operator norm of the bath's Hamiltonian or in terms of the power spectrum of bath correlations; we explain in particular how the performance of recursively generated concatenated pulse sequences can be analyzed from either viewpoint. Our results apply to Hamiltonian noise models with limited spatial correlations.

Authors:
;  [1];  [2]
  1. Institute for Quantum Information, California Institute of Technology, Pasadena, California 91125 (United States)
  2. Departments of Electrical Engineering, Chemistry, and Physics, and Center for Quantum Information Science and Technology, University of Southern California, Los Angeles, California 90089 (United States)
Publication Date:
OSTI Identifier:
22038611
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 1; Other Information: (c) 2011 American Institute of Physics; 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; CORRELATIONS; DECOUPLING; HAMILTONIANS; PULSES; QUANTUM COMPUTERS

Citation Formats

Ng, Hui Khoon, Preskill, John, and Lidar, Daniel A. Combining dynamical decoupling with fault-tolerant quantum computation. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.012305.
Ng, Hui Khoon, Preskill, John, & Lidar, Daniel A. Combining dynamical decoupling with fault-tolerant quantum computation. United States. doi:10.1103/PHYSREVA.84.012305.
Ng, Hui Khoon, Preskill, John, and Lidar, Daniel A. Fri . "Combining dynamical decoupling with fault-tolerant quantum computation". United States. doi:10.1103/PHYSREVA.84.012305.
@article{osti_22038611,
title = {Combining dynamical decoupling with fault-tolerant quantum computation},
author = {Ng, Hui Khoon and Preskill, John and Lidar, Daniel A.},
abstractNote = {We study how dynamical decoupling (DD) pulse sequences can improve the reliability of quantum computers. We prove upper bounds on the accuracy of DD-protected quantum gates and derive sufficient conditions for DD-protected gates to outperform unprotected gates. Under suitable conditions, fault-tolerant quantum circuits constructed from DD-protected gates can tolerate stronger noise and have a lower overhead cost than fault-tolerant circuits constructed from unprotected gates. Our accuracy estimates depend on the dynamics of the bath that couples to the quantum computer and can be expressed either in terms of the operator norm of the bath's Hamiltonian or in terms of the power spectrum of bath correlations; we explain in particular how the performance of recursively generated concatenated pulse sequences can be analyzed from either viewpoint. Our results apply to Hamiltonian noise models with limited spatial correlations.},
doi = {10.1103/PHYSREVA.84.012305},
journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 84,
place = {United States},
year = {2011},
month = {7}
}