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Random decoupling schemes for quantum dynamical control and error suppression.

Lorenza Viola1, Emanuel Knill

  • 1Department of Physics and Astronomy, Dartmouth College, 6127 Wilder Laboratory, Hanover, New Hampshire 03755, USA. lorenza.viola@dartmouth.edu

Physical Review Letters
|March 24, 2005
PubMed
Summary
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We introduce a new framework for quantum control using random paths, enhancing the reliability of quantum computation. This approach offers improved performance over traditional methods by weakening time scale requirements.

Area of Science:

  • Quantum Information Science
  • Quantum Control Theory
  • Quantum Computation

Background:

  • Quantum dynamical control is crucial for managing quantum systems.
  • Decoupling schemes protect quantum information from noise.
  • Existing methods often have stringent time scale requirements.

Purpose of the Study:

  • To develop a general control-theoretic framework for random decoupling schemes.
  • To analyze the performance of these random protocols.
  • To explore their application in reliable quantum computation.

Main Methods:

  • Designing control propagators using random paths on a group.
  • Characterizing the performance of random decoupling protocols.
  • Comparing random schemes with deterministic (cyclic) counterparts.

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Main Results:

  • A general framework for random decoupling schemes is established.
  • Random protocols can significantly relax time scale requirements compared to cyclic ones.
  • The performance of random decoupling is quantitatively characterized.

Conclusions:

  • Random decoupling schemes offer a promising avenue for robust quantum control.
  • These schemes have the potential to improve the feasibility of reliable quantum computation.
  • The framework provides tools for designing and analyzing advanced quantum control strategies.