论文标题
击败房屋：具有合奏等级截断的耗散量子系统的快速模拟
Beating the House: Fast Simulation of Dissipative Quantum Systems with Ensemble Rank Truncation
论文作者
论文摘要
我们引入了一种新技术，以模拟耗散量子系统。该方法由lindblad方程的近似分解组成，将其定义为kraus映射。使用主成分分析，可以将此集合截断为可管理的大小而不牺牲数值准确性。我们称此方法\ emph {集合等级截断}（ERT），并发现在弱耦合方面，该方法能够通过精确度和速度的数量级来超过现有的波函数蒙特卡洛方法。我们还探讨了将ERT与模拟大型系统（例如矩阵乘积状态（MPS））相结合的可能性，并表明在许多情况下，这种方法将比直接以其MPS形式表达密度矩阵更有效。我们预计，在模拟耗散系统以获取量子信息，计量和热力学时，ERT技术将具有实际感兴趣。
We introduce a new technique for the simulation of dissipative quantum systems. This method is composed of an approximate decomposition of the Lindblad equation into a Kraus map, from which one can define an ensemble of wavefunctions. Using principal component analysis, this ensemble can be truncated to a manageable size without sacrificing numerical accuracy. We term this method \emph{Ensemble Rank Truncation} (ERT), and find that in the regime of weak coupling, this method is able to outperform existing wavefunction Monte-Carlo methods by an order of magnitude in both accuracy and speed. We also explore the possibility of combining ERT with approximate techniques for simulating large systems (such as Matrix Product States (MPS)), and show that in many cases this approach will be more efficient than directly expressing the density matrix in its MPS form. We expect the ERT technique to be of practical interest when simulating dissipative systems for quantum information, metrology and thermodynamics.
