论文标题
使用采样算法估算量子骨系统系统的截断效应
Estimating truncation effects of quantum bosonic systems using sampling algorithms
论文作者
论文摘要
为了在基于Qudit或Qudit的量子计算机上模拟玻色子，必须通过将无限维当地希尔伯特空间截断以实现有限的尺寸来正规化该理论。在搜索实用量子应用中，重要的是要知道截断错误的大小。通常，除非我们拥有一台良好的量子计算机，否则估计错误并不容易。在本文中，我们表明，经典设备（特别是马尔可夫链蒙特卡洛）上的传统采样方法可以解决此问题，以解决当今可用的相当通用的玻感系统类别类别。作为演示，我们将此思想应用于二维晶格上的标量场理论，其大小超出了使用精确的对角线化方法可实现的范围。该方法可用于估计骨气理论逼真的量子模拟所需的资源，还可以检查相应量子模拟结果的有效性。
To simulate bosons on a qubit- or qudit-based quantum computer, one has to regularize the theory by truncating infinite-dimensional local Hilbert spaces to finite dimensions. In the search for practical quantum applications, it is important to know how big the truncation errors can be. In general, it is not easy to estimate errors unless we have a good quantum computer. In this paper, we show that traditional sampling methods on classical devices, specifically Markov Chain Monte Carlo, can address this issue for a rather generic class of bosonic systems with a reasonable amount of computational resources available today. As a demonstration, we apply this idea to the scalar field theory on a two-dimensional lattice, with a size that goes beyond what is achievable using exact diagonalization methods. This method can be used to estimate the resources needed for realistic quantum simulations of bosonic theories, and also, to check the validity of the results of the corresponding quantum simulations.
