Show simple item record Gough, John Edward James, M. R. 2009-03-26T10:50:58Z 2009-03-26T10:50:58Z 2009-05-01
dc.identifier.citation Gough , J E & James , M R 2009 , ' Quantum Feedback Networks: Hamiltonian Formulation ' Communications in Mathematical Physics , vol 287 , no. 3 , pp. 1109-1132 . DOI: 10.1007/s00220-008-0698-8 en
dc.identifier.issn 0010-3616
dc.identifier.other PURE: 99648
dc.identifier.other PURE UUID: f751c2fb-eb60-4d12-abc8-e2ceaa09bc20
dc.identifier.other dspace: 2160/1940
dc.identifier.other DSpace_20121128.csv: row: 1566
dc.identifier.other RAD: 1934
dc.identifier.other RAD_Outputs_All_ID_Import_20121105.csv: row: 1065
dc.identifier.other Scopus: 62549158673
dc.description Gough, J. E., James, M. R., Quantum Feedback Networks: Hamiltonian Formulation, Commun. Math. Phys., Volume 287, Number 3 / May, 2009, 1109-1132 en
dc.description.abstract A quantum network is an open system consisting of several component Markovian input-output subsystems interconnected by boson field channels carrying quantum stochastic signals. Generalizing the work of Chebotarev and Gregoratti, we formulate the model description by prescribing a candidate Hamiltonian for the network including details of the component systems, the field channels, their interconnections, interactions and any time delays arising from the geometry of the network. (We show that the candidate is a symmetric operator and proceed modulo the proof of selfadjointness.) The model is non-Markovian for finite time delays, but in the limit where these delays vanish we recover a Markov model and thereby deduce the rules for introducing feedback into arbitrary quantum networks. The type of feedback considered includes that mediated by the use of beam splitters. We are therefore able to give a system-theoretic approach to introducing connections between quantum mechanical state-based input-output systems, and give a unifying treatment using non-commutative fractional linear, or Möbius, transformations. en
dc.format.extent 24 en
dc.language.iso eng
dc.relation.ispartof Communications in Mathematical Physics en
dc.rights en
dc.title Quantum Feedback Networks: Hamiltonian Formulation en
dc.type /dk/atira/pure/researchoutput/researchoutputtypes/contributiontojournal/article en
dc.contributor.institution Mathematics and Physics en
dc.contributor.institution Department of Physics en
dc.description.status Peer reviewed en

Files in this item

Aside from theses and in the absence of a specific licence document on an item page, all works in Cadair are accessible under the CC BY-NC-ND Licence. AU theses and dissertations held on Cadair are made available for the purposes of private study and non-commercial research and brief extracts may be reproduced under fair dealing for the purpose of criticism or review. If you have any queries in relation to the re-use of material on Cadair, contact

This item appears in the following Collection(s)

Show simple item record

Search Cadair

Advanced Search