Accessibility analysis for controlled quantum systems under continuous quantum measurement

Tomotake Sasaki, Shinji Hara, Koji Tsumura · 2010

We investigate controlled quantum systems under continuous quantum measurement utilizing the theory and techniques of differential geometric analysis for dynamical systems with affine state space. At first, by employing the notion of the strong accessibility distribution, we analyze the local state transition in detail and show that it is quite limited under conditions on the setting of measurement and actuator. Furthermore, we show an explicit form of the accessible set under control with certain conditions.

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