Synthesis of Linear Quantum Stochastic Systems via Quantum Feedback Networks

dc.contributor.authorNurdin, Hendra
dc.date.accessioned2015-12-10T22:59:23Z
dc.date.issued2010
dc.date.updated2016-02-24T11:02:06Z
dc.description.abstractRecent theoretical and experimental investigations of coherent feedback quantum control, the feedback control of a quantum system with another quantum system, has raised the important problem of how to synthesize a class of quantum systems, called the class of linear quantum stochastic systems, from basic quantum optical components and devices in a systematic way. The synthesis theory sought in this case can be naturally viewed as a quantum analogue of linear electrical network synthesis theory and as such has potential for applications beyond the realization of coherent quantum feedback controllers. In earlier work, Nurdin et al. have established that an arbitrary linear quantum stochastic system can be realized as a cascade connection of simpler one degree of freedom quantum harmonic oscillators, together with a direct interaction Hamiltonian which is bilinear in the canonical operators of the oscillators. However, from an experimental perspective and based on current methods and technologies, direct interaction Hamiltonians are challenging to implement for systems with more than just a few degrees of freedom. In order to facilitate more tractable physical realizations of these systems, this technical note develops a new synthesis algorithm for linear quantum stochastic systems that relies solely on field-mediated interactions, including in implementation of the direct interaction Hamiltonian. Explicit synthesis examples are provided to illustrate the realization of two degrees of freedom linear quantum stochastic systems using the new algorithm.
dc.identifier.issn0018-9286
dc.identifier.urihttp://hdl.handle.net/1885/61060
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)
dc.sourceIEEE Transactions on Automatic Control
dc.subjectKeywords: Degree of freedom; Degrees of freedom; Direct interactions; Experimental investigations; Linear electrical networks; Linear quantum systems; Mediated interaction; On currents; Optical circuits; Optical components and devices; Physical realization; Quantum Linear quantum circuits; Linear quantum optical circuits; Linear quantum systems; Quantum network synthesis; Quantum networks
dc.titleSynthesis of Linear Quantum Stochastic Systems via Quantum Feedback Networks
dc.typeJournal article
local.bibliographicCitation.issue4
local.bibliographicCitation.lastpage1013
local.bibliographicCitation.startpage1008
local.contributor.affiliationNurdin, Hendra, College of Engineering and Computer Science, ANU
local.contributor.authoremailrepository.admin@anu.edu.au
local.contributor.authoruidNurdin, Hendra, u4078820
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010203 - Calculus of Variations, Systems Theory and Control Theory
local.identifier.absfor090601 - Circuits and Systems
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.absseo970109 - Expanding Knowledge in Engineering
local.identifier.ariespublicationu4334215xPUB584
local.identifier.citationvolume55
local.identifier.doi10.1109/TAC.2010.2041685
local.identifier.scopusID2-s2.0-77950864108
local.identifier.uidSubmittedByu4334215
local.type.statusPublished Version

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