量子晶体管的形状相关可控性

52nd IEEE Conference on Decision and Control Pub Date : 2013-12-01 DOI:10.1109/CDC.2013.6760054

F. Méhats, Y. Privat, M. Sigalotti

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引用次数: 0

摘要

我们研究了被困在二维器件中的量子电子的可控性。该问题是由在一个有界域中的Schrödinger方程与电位的泊松方程耦合来模拟的。控制器通过对电势的边界条件作用于系统，在部分边界上建模栅极。证明了在栅极的形状和边界条件下，该器件一般是可控的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Shape dependent controllability of a quantum transistor

We investigate the controllability of a quantum electron trapped in a two-dimensional device. The problem is modeled by the Schrödinger equation in a bounded domain coupled to the Poisson equation for the electrical potential. The controller acts on the system through the boundary condition on the potential, on a part of the boundary modeling the gate. We prove that, generically with respect to the shape and boundary conditions on the gate, the device is controllable.

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52nd IEEE Conference on Decision and Control

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