两个耦合自旋1的能控性、能观性及参数辨识
Controllability, Observability and Parameter Identification of two coupled spin 1's
摘要：
本文研究了在电场-磁场作用下相互作用的自旋1对的控制论性质。特别地，我们假设可以观测到总磁化强度的期望值，并研究了这些系统的能控性、能观性和参数辨识。我们给出了能控性和能观性的条件，并刻画了具有相同输入输出行为的等价模型类。分析的动机是最近的兴趣在三能级系统的量子信息理论和量子密码学，以及由建模的问题分子磁体作为自旋网络。
英文摘要：
In this paper, we study the control theoretic properties of a couple of interacting spin 1's driven by an electro-magnetic field. In particular, we assume that it is possible to observe the expectation value of the total magnetization and we study controllability, observability and parameter identification of these systems. We give conditions for controllability and observability and characterize the classes of equivalent models which have the same input-output behavior. The analysis is motivated by the recent interest in three level systems in quantum information theory and quantum cryptography as well as by the problem of modeling molecular magnets as spin networks.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
