Quantum control at the boundary

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Abstract

We present a scheme for controlling the state of a quantum system by modifying the boundary conditions. This constitutes an infinite-dimensional control problem. We provide conditions for the existence of solutions of the dynamics and prove that this system is approximately controllable.

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Balmaseda, A., & Pérez-Pardo, J. M. (2019). Quantum control at the boundary. In Springer Proceedings in Physics (Vol. 229, pp. 57–84). Springer. https://doi.org/10.1007/978-3-030-24748-5_5

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