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31
Modeling and Control of Quantum Systems: An introduction
"... The scope of this work is to provide a self-contained introduction to a selection of basic theoretical aspects in the modeling and control of quantum mechanical systems, as well ..."
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Cited by 22 (7 self)
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The scope of this work is to provide a self-contained introduction to a selection of basic theoretical aspects in the modeling and control of quantum mechanical systems, as well
Quantum coherent nonlinear feedback with applications to quantum optics on chip
- IEEE TRANS. AUTOM. CONTROL
, 2012
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Sliding mode control of two-level quantum systems with bounded uncertainties
- Proc. of the 2010 American Control Conf
, 2010
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On Quantum Channel Estimation with Minimal Resources. ArXiv e-prints
, 2011
"... We determine the minimal experimental resources that ensure a unique solution in the estimation of trace-preserving quantum channels with both direct and convex optimization methods. A convenient parametrization of the constrained set is used to develop a globally converging Newton-type algorithm th ..."
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Cited by 2 (2 self)
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We determine the minimal experimental resources that ensure a unique solution in the estimation of trace-preserving quantum channels with both direct and convex optimization methods. A convenient parametrization of the constrained set is used to develop a globally converging Newton-type algorithm that ensures a physically admissible solution to the problem. Numerical simulations are provided to support the results, and indicate that the minimal experimental setting is sufficient to guarantee good es-timates. 1
Coherent feedback control of linear quantum optical systems via squeezing and phase shift
- SIAM J. Contr. Optim
"... Abstract. The purpose of this paper is to present a theoretic and numerical study of utiliz-ing squeezing and phase shift in coherent feedback control of linear quantum optical systems. A quadrature representation with built-in phase shifters is proposed for such systems. Fundamen-tal structural cha ..."
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Abstract. The purpose of this paper is to present a theoretic and numerical study of utiliz-ing squeezing and phase shift in coherent feedback control of linear quantum optical systems. A quadrature representation with built-in phase shifters is proposed for such systems. Fundamen-tal structural characterizations of linear quantum optical systems are derived in terms of the new quadrature representation. These results reveal considerable insights into the issue of the physical realizability of such quantum systems. The problem of coherent quantum linear quadratic Gaussian (LQG) feedback control studied in H. I. Nurdin, M. R. James, and I. R. Petersen, Automatica, IFAC, 45 (2009), pp. 1837–1846; G. Zhang and M. R. James, IEEE Trans. Automat. Control, 56 (2011), pp. 1535–1550 is reinvestigated in depth. First, the optimization methods in these papers are extended to a multistep optimization algorithm which utilizes ideal squeezers. Second, a two-stage optimization approach is proposed on the basis of controller parametrization. Numerical studies show that closed-loop systems designed via the second approach may offer LQG control performance even better than that when the closed-loop systems are in the vacuum state. When ideal squeezers in a closed-loop system are replaced by (more realistic) degenerate parametric amplifiers, a sufficient condition is derived for the asymptotic stability of the resultant new closed-loop system; the issue of performance convergence is also discussed in the LQG control setting.
Sampling-based Learning Control for Quantum Systems with Hamiltonian Uncertainties
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