Parameter estimation and system identification for continuously-observed quantum systems

Annual Reviews in Control - Tập 54 - Trang 295-304 - 2022
Hendra I. Nurdin1, Mădălin Guţǎ2
1School of Electrical Engineering and Telecommunications, UNSW Australia, Sydney NSW 2052, Australia
2School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, UK

Tài liệu tham khảo

Albarelli, 2017, Ultimate limits for quantum magnetometry via time-continuous measurements, New Journal of Physics, 19, 10.1088/1367-2630/aa9840 Albarelli, 2020 Barchielli, 2013, Quantum continuous measurements: The stochastic Schrödinger equations and the spectrum of the output, Quantum Measurements and Quantum Metrology, 34, 10.2478/qmetro-2013-0005 Belavkin, 1994, Nondemolition principle of quantum measurement theory, Foundations of Physics, 24, 685, 10.1007/BF02054669 Bouten, 2007, An introduction to quantum filtering, SIAM Journal on Control and Optimization, 46, 2199, 10.1137/060651239 Braginsky, 1980, Quantum nondemolition measurements, Science, 209, 547, 10.1126/science.209.4456.547 Braunstein, 1994, Statistical distance and the geometry of quantum states, Physical Review Letters, 72, 3439, 10.1103/PhysRevLett.72.3439 Burgarth, 2015, Quantum estimation via sequential measurements, New Journal of Physics, 17, 10.1088/1367-2630/17/11/113055 Burgarth, 2012, Quantum system identification, Physical Review Letters, 108, 10.1103/PhysRevLett.108.080502 Carmichael, 1993 Catana, 2015, Fisher informations and local asymptotic normality for continuous-time quantum Markov processes, Journal of Physics A: Mathematical and Theoretical, 48, 10.1088/1751-8113/48/36/365301 Catana, 2014, Heisenberg versus standard scaling in quantum metrology with Markov generated states and monitored environment, Physical Review A, 90, 10.1103/PhysRevA.90.012330 Catana, 2014, Maximum likelihood versus likelihood-free quantum system identification in the atom maser, Journal of Physics A: Mathematical and Theoretical, 47, 10.1088/1751-8113/47/41/415302 Chase, 2009, State and dynamical parameter estimation for open quantum systems, Physical Review A, 79 Combes, 2017, The SLH framework for modeling quantum input-output networks, Advances in Physics: X, 2 Dalibard, 1992, Wave-function approach to dissipative processes in quantum optics, Physical Review Letters, 68, 580, 10.1103/PhysRevLett.68.580 Demkowicz-Dobrzański, 2020, Multi-parameter estimation beyond quantum Fisher information, Journal of Physics A: Mathematical and Theoretical, 53, 10.1088/1751-8121/ab8ef3 Fan, 2003 Gambetta, 2001, State and dynamical parameter estimation for open quantum systems, Physical Review A, 64, 10.1103/PhysRevA.64.042105 Gammelmark, 2013, BayesIan parameter inference from continuously monitored quantum systems, Physical Review A, 87, 10.1103/PhysRevA.87.032115 Gammelmark, 2014, Fisher information and the quantum Cramér-Rao sensitivity limit of continuous measurements, Physical Review Letters, 112, 10.1103/PhysRevLett.112.170401 Gardiner, 2004 Garrahan, 2010, Thermodynamics of quantum jump trajectories, Physical Review Letters, 104, 10.1103/PhysRevLett.104.160601 Gill, 2013, On asymptotic quantum statistical inference, vol. 9, 105 Gill, 2000, State estimation for large ensembles, Physical Review A, 61, 10.1103/PhysRevA.61.042312 Gough, 2009, The series product and its application to quantum feedforward and feedback networks, IEEE Transactions on Automatic Control, 54, 2530, 10.1109/TAC.2009.2031205 Gough, 2010, Squeezing components in linear quantum feedback networks, Physical Review A, 81, 10.1103/PhysRevA.81.023804 Guţă, 2006, Local asymptotic normality for qubit states, Physical Review A, 73, 10.1103/PhysRevA.73.052108 Guţă, 2015, Equivalence classes and local asymptotic normality in system identification for quantum Markov chains, Communications in Mathematical Physics, 335, 1397, 10.1007/s00220-014-2253-0 Guţǎ, 2017, Information geometry and local asymptotic normality for multi-parameter estimation of quantum Markov dynamics, Journal of Mathematical Physics, 58 Guţǎ, 2016, System identification for passive linear quantum systems, IEEE Transactions on Automatic Control, 61, 921, 10.1109/TAC.2015.2448491 Guta, 2011, Fisher information and asymptotic normality in system identification for quantum Markov chains, Physical Review A, 83, 10.1103/PhysRevA.83.062324 Holevo, 1982 Hudson, 1984, Quantum Ito’s formula and stochastic evolution, Communications in Mathematical Physics, 93, 301, 10.1007/BF01258530 Ilias, 2021 Kahn, 2009, Local asymptotic normality for finite dimensional quantum systems, Communications in Mathematical Physics, 289, 597, 10.1007/s00220-009-0787-3 Kiilerich, 2016, BayesIan parameter estimation by continuous homodyne detection, Physical Review A, 94, 10.1103/PhysRevA.94.032103 Levitt, 2017, Identification of single-input–single-output quantum linear systems, Physical Review A, 95, 10.1103/PhysRevA.95.033825 Levitt, 2018, Power spectrum identification for quantum linear systems, Automatica, 90, 255, 10.1016/j.automatica.2017.12.037 Ljung, 1999 Lupascu, 2007, Quantum non-demolition measurement of a superconducting two-level system, Nature Physics, 3, 119, 10.1038/nphys509 Mabuchi, 1996, Dynamical identification of open quantum systems, Quantum and Semiclassical Optics, 8, 1103, 10.1088/1355-5111/8/6/002 Macieszczak, 2016, Dynamical phase transitions as a resource for quantum enhanced metrology, Physical Review A, 93, 10.1103/PhysRevA.93.022103 Marin, 2012, Approximate Bayesian computational methods, Statistics and Computing, 22, 1009, 10.1007/s11222-011-9288-2 Nurdin, H. I., Amini, N. H., & Chen, J. (2020). Data-driven system identification of linear quantum systems coupled to time-varying coherent inputs. In Proceedings of the 59th IEEE Conference on Decision and Control (pp. 3829–3835). Nurdin, 2009, Coherent quantum LQG control, Automatica, 45, 1837, 10.1016/j.automatica.2009.04.018 Nurdin, 2017 Qin, 2006, An overview of subspace identification, Computers & Chemical Engineering, 30, 1502, 10.1016/j.compchemeng.2006.05.045 Shaiju, 2012, A frequency domain condition for the physical realizability of linear quantum systems, IEEE Transactions on Automatic Control, 57, 2033, 10.1109/TAC.2012.2195929 Sone, 2017, Hamiltonian identifiability assisted by a single-probe measurement, Physical Review A, 95, 10.1103/PhysRevA.95.022335 Tsang, 2009, Time-symmetric quantum theory of smoothing, Physical Review Letters, 102, 10.1103/PhysRevLett.102.250403 Tsang, 2011, Fundamental quantum limit to waveform estimation, Physical Review Letters, 106, 10.1103/PhysRevLett.106.090401 van Horssen, 2015, Sanov and central limit theorems for output statistics of quantum Markov chains, Journal of Mathematical Physics, 56, 10.1063/1.4907995 van Overschee, 1996 Verstraete, 2010, Continuous matrix product states for quantum fields, Physical Review Letters, 104, 10.1103/PhysRevLett.104.190405 Verstraete, 2001, Sensitivity optimization in quantum parameter estimation, Physical Review A, 64, 10.1103/PhysRevA.64.032111 Wiseman, 1993, Quantum theory of field-quadrature measurements, Physical Review A, 47, 642, 10.1103/PhysRevA.47.642 Wiseman, 2010 Zhang, 2015, Identification of open quantum systems from observable time traces, Physical Review A, 91, 10.1103/PhysRevA.91.052121