Static Bias Controllers for XX Spin-1/2 Rings

Propagation of information encoded in spin degrees of freedom through networks of coupled spins enables important applications in spintronics and quantum information processing. This data set contains the results of applying optimal control of information propagation in networks of spin-1/2 particles with uniform nearest neighbor XX-couplings forming a ring with a single excitation in the network as simple prototype of a router for spin-based information. The control is implemented via spatially distributed potentials, which remain constant during information transfer. The limited degrees of freedom makes finding a control that maximizes the transfer probability in a short time difficult. For further details see S. G. Schirmer, E. Jonckheere, F. C. Langbein. Design of Feedback Control Laws for Information Transfer in Spintronics Networks. In preparation, 2016. F. C. Langbein, S. G. Schirmer, E. Jonckheere. Time optimal information transfer in spintronics networks. Proc. IEEE 54th Annual Conference on Decision and Control (CDC), pp. 6454-6459, Osaka, Japan, December 15-18, 2015. [DOI:10.1109/CDC.2015.7403236] [arXiv:1508.00928]通过耦合自旋网络传输编码于自旋自由度中的信息，在自旋电子学（spintronics）与量子信息处理领域具有重要应用价值。本数据集包含针对自旋基信息路由器的简易原型——由均匀近邻XX耦合构成环形结构的自旋-1/2粒子网络，在网络内存在单个激发态时，应用信息传输最优控制所得的结果。该控制通过空间分布式势能实现，且在信息传输过程中保持恒定。受限的自由度使得在短时间内寻得最大化传输概率的控制方案颇具难度。更多细节可参阅以下文献： 1. S. G. Schirmer、E. Jonckheere、F. C. Langbein，《自旋电子学网络中信息传输的反馈控制律设计》，待刊，2016年。 2. F. C. Langbein、S. G. Schirmer、E. Jonckheere，《自旋电子学网络中的时间最优信息传输》，载于：IEEE第54届决策与控制年会（CDC）论文集，第6454-6459页，日本大阪，2015年12月15-18日。[DOI:10.1109/CDC.2015.7403236] [arXiv:1508.00928]