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We present a realtime feedback control scheme to deterministically produce the maximally entangled Bell states of two partially separated atoms. The recently introduced concept of SWM- (simultaneous weak measurements)-induced quantum state reduction is generalized to the case of anti-commutative observables. This generalization enables the probabilistic preparation of the Bell states via the SWMs...
This paper addresses the global stabilization problem for a class of quantum filters via non-smooth Lyapunov functions. Due to the intrinsic symmetric topology of filter state space, the smooth controls synthesized via the classical Lyapunov stochastic stability theory fail to obtain the global stabilizability because of the existence of the so-called antipodal eigenstates. As such, for the first...
We exploit our recently introduced concept of SWM- (simultaneous weak measurements)-induced quantum state reduction, enabling the use of multiple measurements to produce the desired quantum states. The probabilistic generation of the maximally entangled Bell states is then performed as a consequence of this concept. By combining SWM-induced quantum state reduction with feedback control, we are able...
This paper addresses the global stabilization problem for 2-dimensional quantum filters via non-smooth Lyapunov functions. Due to the symmetric topology of filter state space, the smooth controls synthesized via smooth Lyapunov stochastic stability theory fail to obtain the global stabilizability. As such, for the first time, we introduce a non- smooth Lyapunov-like theory for generic stochastic nonlinear...
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