论文标题
多目标自旋网络的子空间可控性
Subspace controllability of multi-partite spin networks
论文作者
论文摘要
在通过外部电磁场控制的自旋1/2颗粒网络中，每个自旋的旋转磁比是一个表征自旋与外部控制场相互作用的参数。多部分网络使得旋转根据其旋风磁比分为子集，并且一组旋转与另一组中的所有旋转以相同的方式相互作用。由于这种类型的系统中存在对称性，因此基础的希尔伯特状态空间将动力学分为不变的子空间。如果这些子空间上的动力学可以生成每个单一进化，则可以验证子空间可控性。我们在图理论条件的术语中给出了多部分量子自旋网络的子空间可控性的确切表征。这扩展并统一了先前的结果。
In a network of spin 1/2 particles, controlled through an external electro-magnetic field, the gyromagnetic ratio of each spin is a parameter that characterizes the interaction of the spin with the external control field. Multipartite networks are such that the spins are divided into subsets according to their gyromagnetic ratio and spins in one set interact in the same way with all spins in another set. Due to the presence of symmetries in this type of systems, the underlying Hilbert state space splits into invariant subspaces for the dynamics. Subspace controllability is verified if every unitary evolution can be generated by the dynamics on these subspaces. We give an exact characterization, in term of graph theoretic conditions, of subspace controllability for multipartite quantum spin networks. This extends and unifies previous results.
