Report
Optimal Control of a Markovian Qubit with Unitary Control
| العنوان: | Optimal Control of a Markovian Qubit with Unitary Control |
|---|---|
| المؤلفون: | Malvetti, Emanuel |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Mathematics - Optimization and Control, 81Q93 (Primary) 15A18, 37N20, 15A51, 93B03 (Secondary) |
| الوصف: | We study a single Markovian qubit governed by a Lindblad master equation and subject to fast unitary control. Using reduced control systems and optimal control theory we determine (i) controls for cooling and heating such systems in a time-optimal way as well as (ii) the set of stabilizable states in the Bloch ball. No restrictions on the Lindblad equation are assumed, and several known results, for instance for the Bloch equations, are recovered. Furthermore we introduce integral systems, for which the solutions take a particularly nice form. These integral systems include all systems with real Lindblad terms as well as all coolable systems. The method allows for intuitive visualizations and is mostly analytical, making use of only basic numerical methods. Comment: 26 pages, 24 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.09279 |
| رقم الانضمام: | edsarx.2404.09279 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |