John Gough BSc, MSc, PhD (NUI, Dublin)

Professor

Contact Details

Room Number..........:  4.16
Building....................:  Physical Sciences
Phone.......................:   +44 (0)1970 622755
E-Mail........................:   jug
Home Page...............:   Personal

Biography

John Gough is Professor of Mathematic for IMAPS at Aberystwyth where he leads research in quantum open systems with special emphasis on quantum control.

Research Groups

Research Interests

  • External Funding:
    • London Mathematical Society, Scheme 6 grant, 2005
    • Principal investigator for EPSRC GR/R78404/01 "Analysis & Control of Quantum Systems - Measurement, Filtering & Decoherence"

Teaching Areas

Modules Taught

Publications

The Gisin-Percival stochastic Schrödinger equation from standard quantum filtering theoryGough, J. E. 2018 In : Journal of Mathematical Physics.59, 4, 043509
Quantum Fields and Processes: A Combinatorial ApproachGough, J. & Kupsch, J. 2018 Cambridge: Cambridge University Press. 338 p. (Cambridge Studies in Advanced Mathematics; vol. 171)
Classical and Quantum Stochastic Models of Resistive and Memristive CircuitsGough, J. & Zhang, G. 2017 In : Journal of Mathematical Physics.58, 073505
Non-Markovian Quantum Feedback Networks II: Controlled FlowsGough, J. 2017 In : Journal of Mathematical Physics.58, 6, 063517
The Kalman Decomposition for Linear Quantum SystemsZhang, G., Grivopolous, S., Petersen, I. & Gough, J. 2017 In : IEEE Transactions on Automatic Control.63, 2, p. 331-34616 p.
Noether theorems and quantum anomaliesGough, J., Ratiu, T. S. & Smolyanov, O. G. 2017 In : Doklady Mathematics.95, p. 26-305 p.
The series product for gaussian quantum input processesGough, J. & James, M. R. 2017 In : Reports on Mathematical Physics.79, 1, p. 111-13323 p.
The Stratonovich formulation of quantum feedback network rulesGough, J. 2016 In : Journal of Mathematical Physics.57, 12, 123505
Non-Markovian quantum feedback networks I: Quantum transmission lines, lossless bounded real property and limit Markovian channelsGough, J. 2016 In : Journal of Mathematical Physics.57, 12, 122101
Belavkin Filtering with Squeezed Light SourcesDabrowska, A. & Gough, J. 2016 In : Russian Journal of Mathematical Physics.23, 2, p. 172-184
Quantum Trajectories for Squeezed Input Processes: Explicit SolutionsDabrowska, A. & Gough, J. 2016 In : Open Systems and Information Dynamics.23, 1, 16 p., 1650004
Characteristic operator functions for quantum input-plant-output models and coherent controlGough, J. 2015 In : Journal of Mathematical Physics.56, 013506, 013506
Noether’s theorem for dissipative quantum dynamical semi-groupsGough, J., Ratiu, T. S. & Smolyanov, O. G. 2015 In : Journal of Mathematical Physics.56, 022108
Quantum anomalies and logarithmic derivatives of feynman pseudomeasuresGough, J., Ratiu, T. S. & Smolyanov, O. 2015 In : Doklady Mathematics.92, 3, p. 764-7685 p.
Modular Quantum Memories Using Passive Linear Optics and Coherent FeedbackGough, J. & Nurdin, H. I. 2015 In : Quantum Information & Computation.15, 9 & 10, p. 1017-1040
On realization theory of quantum linear systemsGough, J. & Zhang, G. 2015 In : Automatica.59, p. 139-151
Symplectic Noise and the Classical Analog of the Lindblad Generator: Does the Regression Hypothesis also Fail in Classical Physics?Gough, J. 2015 In : Journal of Statistical Physics.160, 6, p. 1709-1720
Generating Nonclassical Quantum Input Field States with Modulating FiltersGough, J. & Zhang, G. 2015 In : EPJ Quantum Technology.2, 15, 2
The Global versus Local Hamiltonian Description of Quantum Input-Output TheoryGough, J. 2015 In : Open Systems and Information Dynamics.22, 2, 27 p.
A Trotter-Kato Theorem for Quantum Markov LimitsBouten, L., Gohm, R., Gough, J. & Nurdin, H. 2015 In : EPJ Quantum Technology.2, 1, 15 p., 9
Wigner Measures and Quantum ControlGough, J., Ratiu, T. S. & Smolianov, O. G. 2015 In : Doklady Mathematics.91, 2, p. 99-1035 p.
On the Scattering Process in Quantum OpticsGough, J. 2015 In : Physical Review A.91, 013802
Feedback Network Models for Quantum TransportGough, J. 2014 In : Physical Review E.90, 062109
Coherent Feedback Control in Quantum TransportEmary, C. & Gough, J. 2014 In : Physical Review B.90, 8 p., 205436
Zeno Dynamics for Open Quantum SystemsGough, J. E. 2014 In : Russian Journal of Mathematical Physics.21, 3, p. 337-34711 p.
Quantum trajectories for a class of continuous matrix product input statesGough, J. E., James, M. R. & Nurdin, H. 2014 In : New Journal of Physics.16, 075008
Heisenberg Picture Approach to the Stability of Quantum Markov SystemsPan, Y., Amini, H., Miao, Z., Gough, J. E., Ugrinovskii, V. & James, M. R. 2014 In : Journal of Mathematical Physics.55, 6, 062701
Feynman, Wigner, and Hamiltonian Structures Describing the Dynamics of Open Quantum SystemsGough, J. E., S. Ratiu, T. & G. Smolyanov, O. 2014 In : Doklady Mathematics.89, 1, p. 68-714 p.
Quantum control and information processingGough, J. E. & Belavkin, V. P. 2013 In : Quantum Information Processing.12, 3, p. 1397-141519 p.
Stability of quantum Markov systems via Lyapunov methods in the Heisenberg pictureGough, J. E. 2013 Control Conference (AUCC), 2013 3rd Australian, 2013.IEEE Press
On structure-preserving transformations of the Itō generator matrix for model reduction of quantum feedback networksGough, J. E. & Nurdin, H. I. 2012 In : Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.370, 1979, p. 5422-3615 p.
Single Photon Quantum Filtering Using non-Markov EmbeddingsGough, J. E., James, M. R. & Nurdin, H. I. 2012 In : Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.370, 1979, p. 5241-525818 p.
Quantum Filtering for Systems Driven by Fields in Single Photon States and Superposition of Coherent States using Non-Markovian EmbeddingsJames, M. R., Gough, J. E. & Nurdin, H. 2012 In : Quantum Information Processing.12, 3, p. 1469-1499
Non-abelian Weyl Commutation Relations and the Series Product of Quantum Stochastic EvolutionsEvans, D. G., Gough, J. E. & James, M. 2012 In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.370, 1979, p. 5437-545115 p.
Quantum filtering for systems driven by fields in single-photon states or superposition of coherent statesGough, J. E., James, M. R., Nurdin, H. I. & Combes, J. 2012 In : Physical Review A.86, 4, 14 p., 043819
Quantum filtering for systems driven by Fermion fieldGough, J. E., Guta, M. I., James, M. R. & Nurdin, H. I. 2011 In : Communications in Information and Systems.11, 3, p. 237-26832 p.
Quantum Filtering in Coherent StatesGough, J. E. & Köstler, C. M. 2010 In : Communications on Stochastic Analysis.4, 4, p. 505-52117 p.
Quantum Dissipative Systems and Feedback Control Design by InterconnectionJames, M. R. & Gough, J. E. 2010 In : IEEE Transactions on Automatic Control.55, 8, p. 1806-182116 p.
Squeezing components in linear quantum feedback networksGough, J. E., James, M. R. & Nurdin, H. I. 2010 In : Physical Review A.81, 2, 023804
Commutativity of the adiabatic elimination limit of fast oscillatory components and the instantaneous feedback limit in quantum feedback networksGough, J. E., Nurdin, H. & Wildfeuer, S. 2010 In : Journal of Mathematical Physics.51, 21, 123518
Enhancement of field squeezing using coherent feedbackGough, J. E. & Wildfeuer, S. 2009 In : Physical Review A.80, 4, p. 2536-254711 p., 042107
The Series Product and Its Application to Quantum Feedforward and Feedback NetworksGough, J. E. & James, M. R. 2009 In : IEEE Transactions on Automatic Control.54, 11, p. 2530-254415 p.
Quantum Feedback Networks: Hamiltonian FormulationGough, J. E. & James, M. R. 2009 In : Communications in Mathematical Physics.287, 3, p. 1109-113224 p.
Quantum Behaviors and NetworksGough, J. E. & James, M. R. 2008 47th IEEE Conference on Decision and Control, 2008.IEEE Press, p. 4552 - 4557 3 p.
Linear quantum feedback networksGough, J. E., Gohm, R. & Yanagisawa, M. 2008 In : Physical Review A.78, 6, 62104
Optimal Quantum Feedback Control for Canonical ObservablesGough, J. E. 2008 Quantum Stochastics and Information: Statistics, Filtering and Control.World Scientific, p. 262-27918 p.
Construction of bilinear control Hamiltonians using the series product and quantum feedbackGough, J. E. 2008 In : Physical Review A.78, 5, 52311
Singular perturbation of quantum stochastic differential equations with coupling through an oscillator modeVan Handel, R. & Gough, J. E. 2007 In : Journal of Statistical Physics.127, 3, p. 575-60733 p.
Quantum Stratonovich Stochastic Calculus and the Quantum Wong-Zakai TheoremGough, J. E. 2006 In : Journal of Mathematical Physics.47, 11, 19 p., 113509
Hamilton–Jacobi–Bellman equations for quantum optimal feedback controlGough, J. E., Belavkin, V. P. & Smolianov, O. G. 2005 In : Journal of Optics B: Quantum and Semiclassical Optics.7, 10, S237
Quantum Markovian Approximations for Fermionic ReservoirsGough, J. E. & Sobolev, A. 2005 In : Infinite Dimensional Analysis, Quantum Probability and Related Topics.8, 3, p. 453-47119 p.
Randomized Hamiltonian Feynman integrals and Schrödinger-Ito stochastic equationsGough, J. E., Obreskov, O. & Smolyanov, O. 2005 In : Izvestiya: Mathematics.69, 6, p. 1081-109818 p.
Boson-Fermion unification implemented by Wick calculusGough, J. E. 2005 In : Advanced Studies in Contemporary Mathematics (Kyungshang).11, 2, p. 141-15010 p.
Stochastic Schrodinger equations as limit of discreteGough, J. E. & Sobolev, A. 2004 In : Open Systems and Information Dynamics.11, 3, p. 235-25521 p.
Continuous measurement of canonical observables and limit stochastic Schrödinger equationsSobolev, A. & Gough, J. E. 2004 In : Physical Review A.69, 3
Holevo-Ordering and the Continuous-Time Limit for Open Floquet DynamicsGough, J. E. 2004 In : Letters in Mathematical Physics.67, 3, p. 207-22115 p.
Quantum Flows as Markovian Limit of Emission, Absorption and Scattering InteractionsGough, J. E. 2004 In : Communications in Mathematical Physics.254, 2, p. 498-51215 p.