Miao, Zibo; He, Dong; Kong, He; Wu, Ai-Guo; James, Matthew R. Coherent strong observers for a class of linear quantum stochastic systems with unknown inputs. (English) Zbl 1504.93137 Automatica 146, Article ID 110625, 9 p. (2022). MSC: 93B53 93E03 93C05 81Q93 PDFBibTeX XMLCite \textit{Z. Miao} et al., Automatica 146, Article ID 110625, 9 p. (2022; Zbl 1504.93137) Full Text: DOI
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R. Quadratic-exponential functionals of Gaussian quantum processes. (English) Zbl 1486.81143 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 24, No. 4, Article ID 2150024, 40 p. (2021). MSC: 81S22 81S25 81P16 81S05 81R15 47B35 81Q10 37L40 60G15 81Q93 93B35 94A17 PDFBibTeX XMLCite \textit{I. G. Vladimirov} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 24, No. 4, Article ID 2150024, 40 p. (2021; Zbl 1486.81143) Full Text: DOI arXiv
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R. Multi-point Gaussian states, quadratic-exponential cost functionals, and large deviations estimates for linear quantum stochastic systems. (English) Zbl 1461.81064 Appl. Math. Optim. 83, No. 1, 83-137 (2021). MSC: 81S25 81S05 81S22 81V73 81P16 81P40 81Q93 81Q10 60G15 PDFBibTeX XMLCite \textit{I. G. Vladimirov} et al., Appl. Math. Optim. 83, No. 1, 83--137 (2021; Zbl 1461.81064) Full Text: DOI arXiv
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R. Parametric randomization, complex symplectic factorizations, and quadratic-exponential functionals for Gaussian quantum states. (English) Zbl 1436.81080 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 3, Article ID 1950020, 28 p. (2019). MSC: 81S25 81S30 81S05 81S22 81P16 81P40 81Q93 81Q10 60G15 PDFBibTeX XMLCite \textit{I. G. Vladimirov} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 3, Article ID 1950020, 28 p. (2019; Zbl 1436.81080) Full Text: DOI arXiv
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R. Effects of parametric uncertainties in cascaded open quantum harmonic oscillators and robust generation of Gaussian invariant states. (English) Zbl 1421.81073 SIAM J. Control Optim. 57, No. 3, 1597-1628 (2019). MSC: 81S22 81S25 81P16 81Q15 60G15 93B35 93B51 81Q93 PDFBibTeX XMLCite \textit{I. G. Vladimirov} et al., SIAM J. Control Optim. 57, No. 3, 1597--1628 (2019; Zbl 1421.81073) Full Text: DOI arXiv
Vladimirov, Igor G.; James, Matthew R.; Petersen, Ian R. Measurement-based feedback control of linear quantum stochastic systems with quadratic-exponential criteria. arXiv:1912.11687 Preprint, arXiv:1912.11687 [quant-ph] (2019). MSC: 81Q93 81S25 81S05 81S22 81P16 81Q10 60G15 45P05 15A16 15A24 47A56 49N35 93B52 49K15 BibTeX Cite \textit{I. G. Vladimirov} et al., ``Measurement-based feedback control of linear quantum stochastic systems with quadratic-exponential criteria'', Preprint, arXiv:1912.11687 [quant-ph] (2019) Full Text: arXiv OA License
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R. Frequency-domain computation of quadratic-exponential cost functionals for linear quantum stochastic systems. arXiv:1911.03031 Preprint, arXiv:1911.03031 [quant-ph] (2019). MSC: 81Q93 81S25 81S05 81S22 81P16 81Q10 60G15 45P05 15A16 15A24 47A56 BibTeX Cite \textit{I. G. Vladimirov} et al., ``Frequency-domain computation of quadratic-exponential cost functionals for linear quantum stochastic systems'', Preprint, arXiv:1911.03031 [quant-ph] (2019) Full Text: arXiv OA License
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R. A Girsanov type representation of quadratic-exponential cost functionals for linear quantum stochastic systems. arXiv:1911.01539 Preprint, arXiv:1911.01539 [quant-ph] (2019). MSC: 81Q93 81S25 81S05 81S22 81P16 81Q10 60G15 45P05 34L10 BibTeX Cite \textit{I. G. Vladimirov} et al., ``A Girsanov type representation of quadratic-exponential cost functionals for linear quantum stochastic systems'', Preprint, arXiv:1911.01539 [quant-ph] (2019) Full Text: arXiv OA License
Vladimirov, Igor G.; James, Matthew R.; Petersen, Ian R. A Karhunen-Loeve expansion for one-mode open quantum harmonic oscillators using the eigenbasis of the two-point commutator kernel. arXiv:1909.07377 Preprint, arXiv:1909.07377 [quant-ph] (2019). MSC: 81S25 81Q93 81P16 81S30 81S05 81S22 81P40 81Q10 60G15 47G10 34B09 34L10 BibTeX Cite \textit{I. G. Vladimirov} et al., ``A Karhunen-Loeve expansion for one-mode open quantum harmonic oscillators using the eigenbasis of the two-point commutator kernel'', Preprint, arXiv:1909.07377 [quant-ph] (2019) Full Text: arXiv OA License
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R. A quantum Karhunen-Loeve expansion and quadratic-exponential functionals for linear quantum stochastic systems. arXiv:1904.03265 Preprint, arXiv:1904.03265 [math.PR] (2019). MSC: 81S25 81Q93 81P16 81S30 81S05 81S22 81P40 81Q10 60G15 47G10 BibTeX Cite \textit{I. G. Vladimirov} et al., ``A quantum Karhunen-Loeve expansion and quadratic-exponential functionals for linear quantum stochastic systems'', Preprint, arXiv:1904.03265 [math.PR] (2019) Full Text: arXiv OA License
Wang, Shi; Nurdin, Hendra I.; Zhang, Guofeng; James, Matthew R. Representation and network synthesis for a class of mixed quantum-classical linear stochastic systems. (English) Zbl 1406.93309 Automatica 96, 84-97 (2018). MSC: 93E03 93C05 81Q93 81Q80 93B50 PDFBibTeX XMLCite \textit{S. Wang} et al., Automatica 96, 84--97 (2018; Zbl 1406.93309) Full Text: DOI arXiv
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R. Risk-sensitive performance criteria and robustness of quantum systems with a relative entropy description of state uncertainty. arXiv:1802.00250 Preprint, arXiv:1802.00250 [quant-ph] (2018). MSC: 81S25 81S05 81S22 81P16 81P40 81Q93 81Q10 60G15 93E20 BibTeX Cite \textit{I. G. Vladimirov} et al., ``Risk-sensitive performance criteria and robustness of quantum systems with a relative entropy description of state uncertainty'', Preprint, arXiv:1802.00250 [quant-ph] (2018) Full Text: arXiv OA License
Vladimirov, Igor G.; Petersen, Ian R.; James, Matthew R. Invariant states of linear quantum stochastic systems under Weyl perturbations of the Hamiltonian and coupling operators. arXiv:1711.03503 Preprint, arXiv:1711.03503 [math-ph] (2017). MSC: 81S22 81S25 81S30 81P16 81S05 81Q15 35Q40 37M25 BibTeX Cite \textit{I. G. Vladimirov} et al., ``Invariant states of linear quantum stochastic systems under Weyl perturbations of the Hamiltonian and coupling operators'', Preprint, arXiv:1711.03503 [math-ph] (2017) Full Text: arXiv OA License
Miao, Zibo; James, Matthew R.; Petersen, Ian R. Coherent observers for linear quantum stochastic systems. (English) Zbl 1343.93020 Automatica 71, 264-271 (2016). MSC: 93B07 93E03 81Q93 93C05 PDFBibTeX XMLCite \textit{Z. Miao} et al., Automatica 71, 264--271 (2016; Zbl 1343.93020) Full Text: DOI
Duffaut Espinosa, Luis A.; Miao, Z.; Petersen, I. R.; Ugrinovskii, V.; James, M. R. Physical realizability and preservation of commutation and anticommutation relations for \(n\)-level quantum systems. (English) Zbl 1336.81044 SIAM J. Control Optim. 54, No. 2, 632-661 (2016). MSC: 81S22 81R25 81R50 93E03 93E99 81Q93 81S25 17B37 PDFBibTeX XMLCite \textit{L. A. Duffaut Espinosa} et al., SIAM J. Control Optim. 54, No. 2, 632--661 (2016; Zbl 1336.81044) Full Text: DOI
Pan, Yu; Ugrinovskii, Valery; James, Matthew R. Ground-state stabilization of quantum finite-level systems by dissipation. (English) Zbl 1328.93194 Automatica 65, 147-159 (2016). MSC: 93D05 81Q93 PDFBibTeX XMLCite \textit{Y. Pan} et al., Automatica 65, 147--159 (2016; Zbl 1328.93194) Full Text: DOI arXiv
Wang, Shi; James, Matthew R. Quantum feedback control of linear stochastic systems with feedback-loop time delays. (English) Zbl 1309.93150 Automatica 52, 277-282 (2015). MSC: 93E03 81Q93 93B52 PDFBibTeX XMLCite \textit{S. Wang} and \textit{M. R. James}, Automatica 52, 277--282 (2015; Zbl 1309.93150) Full Text: DOI
Gough, John E.; James, Matthew R.; Nurdin, Hendra I. Quantum trajectories for a class of continuous matrix product input states. (English) Zbl 1451.81291 New J. Phys. 16, No. 7, Article ID 075008, 17 p. (2014). MSC: 81S22 81V80 78A60 PDFBibTeX XMLCite \textit{J. E. Gough} et al., New J. Phys. 16, No. 7, Article ID 075008, 17 p. (2014; Zbl 1451.81291) Full Text: DOI arXiv
Pan, Yu; Amini, Hadis; Miao, Zibo; Gough, John; Ugrinovskii, Valery; James, Matthew R. Heisenberg picture approach to the stability of quantum Markov systems. (English) Zbl 1298.81135 J. Math. Phys. 55, No. 6, 062701, 16 p. (2014). Reviewer: Adam Skalski (Warszawa) MSC: 81S25 82C10 37L15 PDFBibTeX XMLCite \textit{Y. Pan} et al., J. Math. Phys. 55, No. 6, 062701, 16 p. (2014; Zbl 1298.81135) Full Text: DOI arXiv Link
Hush, M. R.; Carvalho, A. R. R.; Hedges, M.; James, M. R. Analysis of the operation of gradient echo memories using a quantum input-output model. (English) Zbl 1451.81294 New J. Phys. 15, No. 8, Article ID 085020, 33 p. (2013). MSC: 81S22 81P65 81P68 PDFBibTeX XMLCite \textit{M. R. Hush} et al., New J. Phys. 15, No. 8, Article ID 085020, 33 p. (2013; Zbl 1451.81294) Full Text: DOI
Zhang, Guofeng; James, Matthew R. On the response of quantum linear systems to single photon input fields. (English) Zbl 1369.81048 IEEE Trans. Autom. Control 58, No. 5, 1221-1235 (2013). MSC: 81Q93 93E03 PDFBibTeX XMLCite \textit{G. Zhang} and \textit{M. R. James}, IEEE Trans. Autom. Control 58, No. 5, 1221--1235 (2013; Zbl 1369.81048) Full Text: DOI arXiv
Wang, Shi; Nurdin, Hendra I.; Zhang, Guofeng; James, Matthew R. Quantum optical realization of classical linear stochastic systems. (English) Zbl 1358.93165 Automatica 49, No. 10, 3090-3096 (2013). MSC: 93E03 81Q93 93C05 PDFBibTeX XMLCite \textit{S. Wang} et al., Automatica 49, No. 10, 3090--3096 (2013; Zbl 1358.93165) Full Text: DOI arXiv
Altafini, Claudio (ed.); Bloch, Anthony M. (ed.); James, Matthew R. (ed.); Loria, Antonio (ed.); Rouchon, Pierre (ed.) Guest editorial: special issue on control of quantum mechanical systems. (English) Zbl 1369.81009 IEEE Trans. Autom. Control 57, No. 8, 1893-1895 (2012). MSC: 81-06 93-06 81Q93 PDFBibTeX XMLCite \textit{C. Altafini} (ed.) et al., IEEE Trans. Autom. Control 57, No. 8, 1893--1895 (2012; Zbl 1369.81009) Full Text: DOI
Nurdin, Hendra I.; Petersen, Ian R.; James, Matthew R. On the infeasibility of entanglement generation in Gaussian quantum systems via classical control. (English) Zbl 1369.93578 IEEE Trans. Autom. Control 57, No. 1, 198-203 (2012). MSC: 93E03 81P40 60H30 PDFBibTeX XMLCite \textit{H. I. Nurdin} et al., IEEE Trans. Autom. Control 57, No. 1, 198--203 (2012; Zbl 1369.93578) Full Text: DOI arXiv
Gough, John E.; James, Matthew R.; Nurdin, Hendra I. Single photon quantum filtering using non-Markovian embeddings. (English) Zbl 1353.81070 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 370, No. 1979, Article ID 5408-5421 p. (2012). MSC: 81Q93 60H10 93E11 81S22 PDFBibTeX XMLCite \textit{J. E. Gough} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 370, No. 1979, Article ID 5408--5421 p. (2012; Zbl 1353.81070) Full Text: DOI
James, M. R. Information states in control theory: from classical to quantum. (English) Zbl 1271.93138 Dym, Harry (ed.) et al., Mathematical methods in systems, optimization, and control. Festschrift in honor of J. William Helton. Basel: Birkhäuser (ISBN 978-3-0348-0410-3/hbk; 978-3-0348-0411-0/ebook). Operator Theory: Advances and Applications 222, 233-246 (2012). MSC: 93E03 81Q93 93A10 PDFBibTeX XMLCite \textit{M. R. James}, Oper. Theory: Adv. Appl. 222, 233--246 (2012; Zbl 1271.93138) Full Text: DOI arXiv
Sridharan, Srinivas; James, Matthew R. Dynamic programming and viscosity solutions for the optimal control of quantum spin systems. (English) Zbl 1229.49027 Syst. Control Lett. 60, No. 9, 726-733 (2011). MSC: 49L25 49L20 81P40 90C39 PDFBibTeX XMLCite \textit{S. Sridharan} and \textit{M. R. James}, Syst. Control Lett. 60, No. 9, 726--733 (2011; Zbl 1229.49027) Full Text: DOI arXiv
James, Matthew R.; Gough, John E. Quantum dissipative systems and feedback control design by interconnection. (English) Zbl 1368.81091 IEEE Trans. Autom. Control 55, No. 8, 1806-1821 (2010). MSC: 81Q93 93B52 93D15 PDFBibTeX XMLCite \textit{M. R. James} and \textit{J. E. Gough}, IEEE Trans. Autom. Control 55, No. 8, 1806--1821 (2010; Zbl 1368.81091) Full Text: DOI arXiv
Gough, J.; James, M. R. Quantum feedback networks: Hamiltonian formulation. (English) Zbl 1196.81152 Commun. Math. Phys. 287, No. 3, 1109-1132 (2009). MSC: 81S22 81P45 94A15 81S25 PDFBibTeX XMLCite \textit{J. Gough} and \textit{M. R. James}, Commun. Math. Phys. 287, No. 3, 1109--1132 (2009; Zbl 1196.81152) Full Text: DOI arXiv
Nurdin, Hendra I.; James, Matthew R.; Doherty, Andrew C. Network synthesis of linear dynamical quantum stochastic systems. (English) Zbl 1203.93072 SIAM J. Control Optim. 48, No. 4, 2686-2718 (2009). MSC: 93B50 93B10 93E03 94C99 81V80 81Q93 PDFBibTeX XMLCite \textit{H. I. Nurdin} et al., SIAM J. Control Optim. 48, No. 4, 2686--2718 (2009; Zbl 1203.93072) Full Text: DOI arXiv
Nurdin, Hendra I.; James, Matthew R.; Petersen, Ian R. Coherent quantum LQG control. (English) Zbl 1185.49037 Automatica 45, No. 8, 1837-1846 (2009). MSC: 49N10 93E20 81Q93 93C05 PDFBibTeX XMLCite \textit{H. I. Nurdin} et al., Automatica 45, No. 8, 1837--1846 (2009; Zbl 1185.49037) Full Text: DOI arXiv
Bouten, Luc; van Handel, Ramon; James, Matthew R. A discrete invitation to quantum filtering and feedback control. (English) Zbl 1167.93028 SIAM Rev. 51, No. 2, 239-316 (2009). MSC: 93E11 93E15 93E20 81P15 81S25 34F05 49L20 PDFBibTeX XMLCite \textit{L. Bouten} et al., SIAM Rev. 51, No. 2, 239--316 (2009; Zbl 1167.93028) Full Text: DOI arXiv Link
James, Matthew R.; Nurdin, Hendra I.; Petersen, Ian R. \(H^{\infty}\) control of linear quantum stochastic systems. (English) Zbl 1367.93178 IEEE Trans. Autom. Control 53, No. 8, 1787-1803 (2008). MSC: 93B36 81Q93 93E03 PDFBibTeX XMLCite \textit{M. R. James} et al., IEEE Trans. Autom. Control 53, No. 8, 1787--1803 (2008; Zbl 1367.93178) Full Text: DOI arXiv
Bouten, Luc; van Handel, Ramon; James, Matthew R. An introduction to quantum filtering. (English) Zbl 1149.93032 SIAM J. Control Optim. 46, No. 6, 2199-2241 (2007). MSC: 93E11 81P15 81S25 81Q10 81R15 34F05 93E03 PDFBibTeX XMLCite \textit{L. Bouten} et al., SIAM J. Control Optim. 46, No. 6, 2199--2241 (2007; Zbl 1149.93032) Full Text: DOI arXiv Link