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arXiv · 1002.4260

Open-Loop Control Design via Parametrization Applied in a Two-Level Quantum System Model

Markku Nihtilä
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Abstract

In the design of quantum computing devices of the future the basic element is the qubit. It is a two-level quantum system which may describe population transfer from one steady-state to another controlled by a coherent laser field. A four-dimensional real-variable differential equation model is constructed from the complex-valued two-level model describing the wave function of the system. The state transition matrix of the model is constructed via the Wei-Norman technique and Lie algebraic methodology. The idea of parametrization using flatness-based control, is applied to construct feasible input--output pairs of the model. This input drives the state of the system from the given initial state to the given final state in a finite time producing the corresponding output of the pair. The population transfer is obtained by nullifying part of the state vector via careful selection of the parameter functions. A preliminary simulation study completes the paper.

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Markku Nihtilä. 2010-02-23. Open-Loop Control Design via Parametrization Applied in a Two-Level Quantum System Model. https://arxiv.org/abs/1002.4260

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