论文标题
自旋玻色子模型的量子动力学图
The quantum dynamical map of the spin boson model
论文作者
论文摘要
分析量子计算机中环境效果的主要框架之一是纯dephasing，其中可以根据众所周知的动态图来表征Qubits的动力学。在这项工作中，我们向这种简单的纯dephasing情况呈现了此类地图的非扰动扩展，即，这对于在热状态下与骨孔环境耦合的一般自旋有效。为了这个目的，我们使用践踏者分解和Magnus扩展来简化互动图片中的统一进化操作员。所提出的推导可以扩展到其他有限级的开放量子系统，包括许多身体，初始系统 - 环境相关状态，多次相关函数或量子信息协议。
One of the main frameworks to analyze the effects of the environment in a quantum computer is that of pure dephasing, where the dynamics of qubits can be characterised in terms of a well-known dynamical map. In this work we present a non-peturbative extension of such map beyond this simple pure-dephasing case, i.e. that is valid for a general spin coupled to a bosonic environment in a thermal state. To this aim, we use a Trotter decomposition and a Magnus expansion to simplify the unitary evolution operator in interaction picture. The proposed derivation can be extended to other finite-level open quantum systems including many body, initial system-environment correlated states, multiple-time correlation functions or quantum information protocols.
