晶格上反应-扩散系统的数字量子模拟

IF 1.6 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER
Louie Hong Yao
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引用次数: 0

摘要

量子计算机在模拟物理系统方面具有显著的优势,特别是那些具有指数级大状态空间的系统,如量子系统。随机反应扩散系统具有随机特性,其状态空间维数呈指数增长,这对概率分布水平的模拟提出了挑战。我们在数字量子计算机上探索随机反应扩散系统的量子模拟,直接在主方程水平上模拟系统。利用系统的自旋表示,我们使用Trotterization和概率虚时间演化(PITE)来直接模拟概率分布。我们通过四个不同的例子来说明这种方法,从简单的单点位产生-湮灭过程到具有主动吸收相变的系统。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Digital quantum simulation of reaction–diffusion systems on lattice

The quantum computer offers significant advantages in simulating physical systems, particularly those with exponentially large state spaces, such as quantum systems. Stochastic reaction–diffusion systems, characterized by their stochastic nature, also exhibit exponential growth in the dimension of the state space, posing challenges for simulation at a probability distribution level. We explore the quantum simulation of stochastic reaction–diffusion systems on a digital quantum computer, directly simulating the system at the master equation level. Leveraging a spin representation of the system, we employ Trotterization and probabilistic imaginary time evolution (PITE) to simulate the probability distribution directly. We illustrate this approach through four diverse examples, ranging from simple single-lattice site generation-annihilation processes to a system featuring active-absorbing phase transition.

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来源期刊
The European Physical Journal B
The European Physical Journal B 物理-物理:凝聚态物理
CiteScore
2.80
自引率
6.20%
发文量
184
审稿时长
5.1 months
期刊介绍: Solid State and Materials; Mesoscopic and Nanoscale Systems; Computational Methods; Statistical and Nonlinear Physics
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