论文标题
使用高阶系列扩展模拟马尔可夫开放量子系统
Simulating Markovian open quantum systems using higher-order series expansion
论文作者
论文摘要
我们提出了一种有效的量子算法，用于模拟马尔可夫开放量子系统的动力学。我们的算法的性能类似于先前的最新量子算法，即，它以进化时间线性缩放，并且以逆精度为单位。但是，我们的算法在概念上更清洁，并且仅使用简单的量子原始图，而无需压缩编码。我们的方法基于对进化图的新数学处理方法，该方法涉及基于Duhamel原理的高阶系列扩展，并使用缩放的高斯正交正交近似多个积分。我们的方法很容易概括以使用时间依赖性的lindbladians模拟量子动力学。此外，我们使用缩放高斯正交正交近似多个积分的方法可能可用于产生更有效的时间顺序积分的近似值，因此可以简化基于截断的dyson系列模拟时间依赖时间的汉密尔顿人的现有量子算法。
We present an efficient quantum algorithm for simulating the dynamics of Markovian open quantum systems. The performance of our algorithm is similar to the previous state-of-the-art quantum algorithm, i.e., it scales linearly in evolution time and poly-logarithmically in inverse precision. However, our algorithm is conceptually cleaner, and it only uses simple quantum primitives without compressed encoding. Our approach is based on a novel mathematical treatment of the evolution map, which involves a higher-order series expansion based on Duhamel's principle and approximating multiple integrals using scaled Gaussian quadrature. Our method easily generalizes to simulating quantum dynamics with time-dependent Lindbladians. Furthermore, our method of approximating multiple integrals using scaled Gaussian quadrature could potentially be used to produce a more efficient approximation of time-ordered integrals, and therefore can simplify existing quantum algorithms for simulating time-dependent Hamiltonians based on a truncated Dyson series.
