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Rapid Control of Quantum Systems: A Continuous Nonsmooth Function Based Approach

  • Eram Taslima*
  • , Shyam Kamal
  • , R. K. Saket
  • , Antara Banerjee
  • , Xiaogang Xiong
  • *Corresponding author for this work
  • Indian Institute of Technology Banaras Hindu University
  • Harbin Institute of Technology Shenzhen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper addresses the critical objective of achieving rapid state transfer in quantum systems. Increasing control gain to achieve fast convergence can result in poor convergence. To circumvent this, a novel continuous, nonsmooth control is devised, exploiting Lyapunov conditions for quantum systems described by von Neumann equations. This approach ensures swift convergence to the target eigenstate while minimizing control effort and enhancing fidelity compared to prevalent techniques such as bang-bang control, approximate bang-bang control, and standard Lyapunov control. Several illustrative examples are provided to corroborate and validate the efficacy of the proposed methodology.

Original languageEnglish
Title of host publicationIECON 2024 - 50th Annual Conference of the IEEE Industrial Electronics Society, Proceedings
PublisherIEEE Computer Society
ISBN (Electronic)9781665464543
DOIs
StatePublished - 2024
Externally publishedYes
Event50th Annual Conference of the IEEE Industrial Electronics Society, IECON 2024 - Chicago, United States
Duration: 3 Nov 20246 Nov 2024

Publication series

NameIECON Proceedings (Industrial Electronics Conference)
ISSN (Print)2162-4704
ISSN (Electronic)2577-1647

Conference

Conference50th Annual Conference of the IEEE Industrial Electronics Society, IECON 2024
Country/TerritoryUnited States
CityChicago
Period3/11/246/11/24

Keywords

  • Lyapunov stability
  • quantum control
  • quantum system
  • rapid control

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