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Related Concept Videos

State Space Representation01:27

State Space Representation

The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
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Related Experiment Video

Updated: Jun 4, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

A multidimensional pseudospectral method for optimal control of quantum ensembles.

Justin Ruths1, Jr-Shin Li

  • 1Department of Electrical and Systems Engineering, Washington University in St. Louis, St. Louis, Missouri 63130 USA.

The Journal of Chemical Physics
|February 2, 2011
PubMed
Summary

This study introduces an optimal ensemble control method using a multidimensional pseudospectral approach to design control pulses for quantum systems with varying parameters, focusing on experimental viability.

Related Experiment Videos

Last Updated: Jun 4, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

  • Quantum Control
  • Spectroscopy
  • Computational Physics

Background:

  • Optimal control of quantum systems relies on effective pulse derivation.
  • Real-world quantum systems exhibit parameter variations, complicating control.
  • Previous work established the pseudospectral method for quantum pulse design.

Purpose of the Study:

  • To address the challenge of controlling quantum systems with parameter variations.
  • To develop an optimal ensemble control framework for such systems.
  • To demonstrate the efficacy of a multidimensional pseudospectral method for designing robust quantum control pulses.

Main Methods:

  • Formulated pulse design as an optimal ensemble control problem.
  • Applied a multidimensional pseudospectral method to solve the control problem.
  • Tested the method on challenging closed and open quantum systems in liquid nuclear magnetic resonance spectroscopy.

Main Results:

  • Successfully derived control pulses for ensembles of quantum systems with varying parameters.
  • Demonstrated the method's applicability to both closed and open quantum systems.
  • Showcased the ability to generate experimentally viable pulses with minimized energy or duration.

Conclusions:

  • The multidimensional pseudospectral method is effective for optimal ensemble quantum control.
  • This approach enables robust control of quantum systems despite parameter variations.
  • The derived pulses are practical for experimental implementation, offering energy and time efficiency.