Evolutionary multi-objective quantum control experiments with the covariance matrix adaptation

Ofer M. Shir, Jonathan Roslund, Herschel Rabitz

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

Experimental multi-objective Quantum Control is an emerging topic within the broad physics and chemistry application domain of controlling quantum phenomena. This realm offers cutting edge ultrafast laser laboratory applications, which pose multiple objectives, noise, and possibly constraints on the high-dimensional search. In this study we introduce the topic of Multi-Objective Quantum Control (MOQC), and consider specific systems to be Pareto optimized subject to uncertainty (noise), either experimentally or by means of simulated systems. Unlike the vast majority of other reported systems, the current modeling of noise considers additive Gaussian noise on the input (decision) parameters, which propagates in an unknown manner to the observable (fitness) values. We employ the multi-objective version of the CMA-ES (MO-CMA), which, to the best of our knowledge, is applied here for the first time to a real-world experimental problem, and assess its performance on the investigated systems. In particular, we study its empirical behavior on the MOQC noisy systems, as well as on the Multi-Sphere model landscape, in light of previous theoretical studies on single-objective single-parent Evolution Strategies, and draw some practical conclusions concerning the projection of fitness disturbance on the perceived Pareto front and the need for parental fitness reevaluation in elitist strategies. We show that elitism diminishes the value of the archived Pareto set, even when the perceived Pareto front is well approximated to the true front.

Original languageEnglish (US)
Title of host publicationProceedings of the 11th Annual Genetic and Evolutionary Computation Conference, GECCO-2009
Pages659-666
Number of pages8
DOIs
StatePublished - Dec 31 2009
Event11th Annual Genetic and Evolutionary Computation Conference, GECCO-2009 - Montreal, QC, Canada
Duration: Jul 8 2009Jul 12 2009

Publication series

NameProceedings of the 11th Annual Genetic and Evolutionary Computation Conference, GECCO-2009

Other

Other11th Annual Genetic and Evolutionary Computation Conference, GECCO-2009
CountryCanada
CityMontreal, QC
Period7/8/097/12/09

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Theoretical Computer Science

Keywords

  • Experimental multi-objective optimization
  • Laser pulse shaping
  • MO-CMA-ES
  • Multi-observable quantum control

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  • Cite this

    Shir, O. M., Roslund, J., & Rabitz, H. (2009). Evolutionary multi-objective quantum control experiments with the covariance matrix adaptation. In Proceedings of the 11th Annual Genetic and Evolutionary Computation Conference, GECCO-2009 (pp. 659-666). (Proceedings of the 11th Annual Genetic and Evolutionary Computation Conference, GECCO-2009). https://doi.org/10.1145/1569901.1569992