Feedback control of quantum state reduction

By Ramon van Handel, John K. Stockton, Hideo Mabuchi. IEEE Transactions on Automatic Control, 2004

307 citations recorded by the source corpus.

Feedback control of quantum mechanical systems must take into account the probabilistic nature of quantum measurement. We formulate quantum feedback control as a problem of stochastic nonlinear control by considering separately a quantum filtering problem and a state feedback control problem for the filter. We explore the use of stochastic Lyapunov techniques for the design of feedback controllers for quantum spin systems and demonstrate the possibility of stabilizing one outcome of a quantum measurement with unit probability.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/bd2f4e09b088975a01df1cd2cdb62757af829a90

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Citations in the corpus

The Series Product and Its Application to Quantum Feedforward and Feedback Networks (2007, background): “Series (also called cascade) connections of quantum optical components were first considered in the papers [6], [3], and certain linear feedback networks were considered in [26].”
An Introduction to Quantum Filtering (2006, background): “1 2 BOUTEN, VAN HANDEL, AND JAMES or analog electronics). Recent experiments implementing quantum feedback controls [3, 33, 34] have led to renewed interest in the ﬁeld which is now rapidly expanding [10, 62, 26, 25, 17, 42, 15, 59, 16, 43, 36, 28, 58, 60, 18]. We believe that a fruitful interaction”
Quantum feedback: theory, experiments, and applications (2014, methodology): “ound states. Since the steady-state has almost no photons, photon detections are relatively rare. When a photon is detected, the 22 Figure 4: (Color online) Diagram of a proposal by van Handel et al. [218] for the stabilization of qubit states. The information of the spin inside the cavity is contin”
Quantum control theory and applications: A survey (2009, unknown): “…been used to improve the control performance for squeezed states [60], [130], quantum entanglement [131], [132], [133], and quantum state reduction [62]-[65], [134]-[138] in many areas such as quantum optics [15], [82], superconducting quantum systems [138], Bose-Einstein condensate [139] and…”