A transverse hamiltonian variational technique for open quantum stochastic systems and its application to coherent quantum control

Igor G. Vladimirov*

*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

This paper is concerned with variational methods for nonlinear open quantum systems with Markovian dynamics governed by Hudson-Parthasarathy quantum stochastic differential equations. The latter are driven by quantum Wiener processes of the external boson fields and are specified by the system Hamiltonian and system-field coupling operators. We consider the system response to perturbations of these energy operators and introduce a transverse Hamiltonian which encodes the propagation of the perturbations through the unitary system-field evolution. This provides a tool for the infinitesimal perturbation analysis and development of optimality conditions for coherent quantum control problems. We apply the transverse Hamiltonian variational technique to a mean square optimal coherent quantum filtering problem for a measurement-free cascade connection of quantum systems.

Original languageEnglish
Title of host publication2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages29-34
Number of pages6
ISBN (Electronic)9781479977871
DOIs
Publication statusPublished - 4 Nov 2015
Externally publishedYes
EventIEEE Conference on Control and Applications, CCA 2015 - Sydney, Australia
Duration: 21 Sept 201523 Sept 2015

Publication series

Name2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings

Conference

ConferenceIEEE Conference on Control and Applications, CCA 2015
Country/TerritoryAustralia
CitySydney
Period21/09/1523/09/15

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