Quantum Control at the Boundary

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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Cited by in corpus (4)

• On $\mathbb{Z}$-invariant self-adjoint extensions of the Laplacian on quantum circuits
• Representation of non-semibounded quadratic forms and orthogonal additivity
• On global approximate controllability of a quantum particle in a box by moving walls
• Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions