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The Kalman decomposition for Linear Quantum Stochastic Systems in the real quadrature operator representation, that was derived indirectly in [1] by the authors, is derived here directly, using the “one-sided symplectic”SVD-like factorization of [2] on the observability matrix of the system.
In this paper, we derive the stochastic master equations for quantum systems driven by a single-photon input state which is contaminated by quantum vacuum noise. To improve estimation performance, quantum filters based on multiple-channel measurements are designed. Two cases, namely diffusive plus Poissonian measurements and two diffusive measurements, are considered.
The purpose of this paper is to formulate and solve a synthesis problem for a class of linear quantum equations that may describe mixed quantum-classical systems. We propose a standard model for mixed quantum-classical linear stochastic systems for the design process, which can present the internal structure of a mixed quantum-classical system. Physical realizability conditions are derived for the...
The purpose of this paper is to present an efficient coherent feedback control technique for squeezing enhancement of degenerate parametric amplifiers (DPAs). The feedback controllers to be designed are in the form of linear quantum stochastic systems which can be described by quantum feedback network theory recently developed. The problem of squeezing enhancement is formulated as a non-convex constrained...
The purpose of this paper is to study and design direct and indirect couplings for use in coherent feedback control of a class of linear quantum stochastic systems. A general physical model for a nominal linear quantum system coupled directly and indirectly to external systems is presented. Fundamental properties of stability, dissipation, passivity, and gain for this class of linear quantum models...
The purpose of this paper is to show how classical linear stochastic systems can be physically implemented using quantum optical components. Quantum optical systems typically have much higher bandwidth than electronic devices, meaning faster response and processing times, and hence have a potential for providing better performance than classical systems. A complete procedure is proposed for a stable...
The purpose of this paper is to study the response of linear quantum stochastic systems to continuous mode single photon input fields. Given multi-channel continuous-mode single-photon input fields interacting with a linear quantum optical system which may contain active components, two expressions for the corresponding mean steady state output intensity are derived. In the single channel case, a...
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