论文标题
关于量子多体系统中信息的传播
On propagation of information in quantum many-body systems
论文作者
论文摘要
我们证明了量子消息传递，相关性传播/创建的最小时间以及对一般晶格量子多体系统的状态的控制。这些证明是基于最大速度结合的，该速度结合了，该速度在初始条件的支撑的光锥中，多体进化始终停留，直至较小的泄漏概率尾巴。该估计值用于证明动力学和Lieb-Robinson型结合的轻锥近似，从而产生上面的结果。我们的条件涵盖了远程互动。本文的主要结果以及证明的一些关键步骤首先在[36]中提出。
We prove bounds on the minimal time for quantum messaging, propagation/creation of correlations, and control of states for general lattice quantum many-body systems. The proofs are based on a maximal velocity bound, which states that the many-body evolution stays, up to small leaking probability tails, within a light cone of the support of the initial conditions. This estimate is used to prove the light-cone approximation of dynamics and Lieb-Robinson-type bound, which in turn yield the results above. Our conditions cover long-range interactions. The main results of this paper as well as some key steps of the proofs were first presented in [36].
