Quantum risk-sensitive estimation and robustness
arXiv:0709.1682 · doi:10.1109/TAC.2008.2009571
Abstract
This paper studies a quantum risk-sensitive estimation problem and investigates robustness properties of the filter. This is a direct extension to the quantum case of analogous classical results. All investigations are based on a discrete approximation model of the quantum system under consideration. This allows us to study the problem in a simple mathematical setting. We close the paper with some examples that demonstrate the robustness of the risk-sensitive estimator.
24 pages
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- Poisson and Diffusion Approximation of Stochastic Schrodinger equations with Control
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- Evolution of quasi-characteristic functions in quantum stochastic systems with Weyl quantization of energy operators
- Modelling and Control of Quantum Measurement Induced Backaction in Double Quantum Dots
- Nonlinear quantum input-output analysis using Volterra series
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- Analysis of Quantum Linear Systems' Response to Multi-photon States