Flatness-Based Control of a Single Qubit Gate
Authors: Paulo Sergio Pereira da Silva and Pierre Rouchon
IEEE Trans Automatic Control, Vol. 53 (3), pp:775-779, 2008. DOI: 10.1109/TAC.2008.917650
This work considers the open-loop control problem of steering a two-level quantum system from any initial to any final condition. The model of this system evolves on the state space X = SU(2), having two inputs that correspond to the complex amplitude of a resonant laser field. A symmetry preserving flat output is constructed using a fully geometric construction and quaternion computations. Simulation results of this flatness-based open-loop control are provided.
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BibTeX:
@Article{,
author = {P. S. Pereira da Silva, P. Rouchon},
title = {Flatness-based control of a single qubit gate},
journal = {IEEE Trans. Automatic Control},
volume = {53},
number = {3},
pages = {775 - 779},
year = {2008},
abstract = {This work considers the open-loop control problem of steering a two-level quantum system from any initial to any final condition. The model of this system evolves on the state space, having two inputs that correspond to the complex amplitude of a resonant laser field. A symmetry preserving flat output is constructed using a fully geometric construction and quaternion computations. Simulation results of this flatness-based open-loop control are provided.},
location = {},
keywords = {Flatness, geometric control, nonlinear systems, quantum control, qubit gate}}
IEEE Trans Automatic Control, Vol. 53 (3), pp:775-779, 2008. DOI: 10.1109/TAC.2008.917650
This work considers the open-loop control problem of steering a two-level quantum system from any initial to any final condition. The model of this system evolves on the state space X = SU(2), having two inputs that correspond to the complex amplitude of a resonant laser field. A symmetry preserving flat output is constructed using a fully geometric construction and quaternion computations. Simulation results of this flatness-based open-loop control are provided.
Download PDF
BibTeX:
@Article{,
author = {P. S. Pereira da Silva, P. Rouchon},
title = {Flatness-based control of a single qubit gate},
journal = {IEEE Trans. Automatic Control},
volume = {53},
number = {3},
pages = {775 - 779},
year = {2008},
abstract = {This work considers the open-loop control problem of steering a two-level quantum system from any initial to any final condition. The model of this system evolves on the state space, having two inputs that correspond to the complex amplitude of a resonant laser field. A symmetry preserving flat output is constructed using a fully geometric construction and quaternion computations. Simulation results of this flatness-based open-loop control are provided.},
location = {},
keywords = {Flatness, geometric control, nonlinear systems, quantum control, qubit gate}}