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Conference papers
Approximate stabilization of an infinite dimensional quantum stochastic system
Abstract : We propose a feedback scheme for preparation of photon number states in a microwave cavity. Quantum Non-Demolition (QND) measurements of the cavity field and a control signal consisting of a microwave pulse injected into the cavity are used to drive the system towards a desired target photon number state. Unlike previous work, we do not use the Galerkin approximation of truncating the infinite-dimensional system Hilbert space into a finite-dimensional subspace. We use an (unbounded) strict Lyapunov function and prove that a feedback scheme that minimizes the expectation value of the Lyapunov function at each time step stabilizes the system at the desired photon number state with (a pre-specified) arbitrarily high probability. Simulations of this scheme demonstrate that we improve the performance of the controller by reducing "leakage" to high photon numbers.
https://hal-mines-paristech.archives-ouvertes.fr/hal-00683444
Contributor : François Chaplais Connect in order to contact the contributor
Submitted on : Wednesday, March 28, 2012 - 5:15:24 PM
Last modification on : Tuesday, January 11, 2022 - 11:16:24 AM
Long-term archiving on: : Friday, June 29, 2012 - 2:27:32 AM
Contributor : François Chaplais Connect in order to contact the contributor
Submitted on : Wednesday, March 28, 2012 - 5:15:24 PM
Last modification on : Tuesday, January 11, 2022 - 11:16:24 AM
Long-term archiving on: : Friday, June 29, 2012 - 2:27:32 AM
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ApproximateQuantumStabilizatio...
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