A Gradient Descent approach to Quantum Equalization via Coherent LQG Control

Rebbecca Ty Thien*, Shanon L. Vuglar, Ian R. Petersen

*Corresponding author for this work

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

Abstract

This paper considers a modified gradient descent approach to the quantum equalization problem via coherent linear quadratic Gaussian (LQG) control for a class of linear quantum systems defined in terms of position and momentum operators. This problem is related to a recent result in formulating a quantum equalization problem. The primary focus of this paper is to find an optimal solution for the quantum equalization problem in the sense that it improves the cost function for the coherent LQG problem. An illustrative example is included which demonstrates the algorithm.

Original languageEnglish
Title of host publication2024 IEEE 63rd Conference on Decision and Control, CDC 2024
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages8735-8739
Number of pages5
ISBN (Electronic)9798350316339
DOIs
Publication statusPublished - 2024
Event63rd IEEE Conference on Decision and Control, CDC 2024 - Milan, Italy
Duration: 16 Dec 202419 Dec 2024

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference63rd IEEE Conference on Decision and Control, CDC 2024
Country/TerritoryItaly
CityMilan
Period16/12/2419/12/24

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