Quantum master equation and filter for systems driven by fields in a single photon state

John E. Gough*, Matthew R. James, Hendra I. Nurdin

*Corresponding author for this work

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

    21 Citations (Scopus)

    Abstract

    The aim of this paper is to determine quantum master and filter equations for systems coupled to continuous-mode single photon fields. The system and field are described using a quantum stochastic unitary model, where the continuous-mode single photon state for the field is determined by a wavepacket pulse shape. The master equation is derived from this model and is given in terms of a system of coupled equations. The output field carries information about the system from the scattered photon, and is continuously monitored. The quantum filter is determined with the aid of an embedding of the system into a larger system, and is given by a system of coupled stochastic differential equations. An example is provided to illustrate the main results.

    Original languageEnglish
    Title of host publication2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages5570-5576
    Number of pages7
    ISBN (Print)9781612848006
    DOIs
    Publication statusPublished - 2011
    Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
    Duration: 12 Dec 201115 Dec 2011

    Publication series

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

    Conference

    Conference2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
    Country/TerritoryUnited States
    CityOrlando, FL
    Period12/12/1115/12/11

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