Linear Combination of Hamiltonian Simulation for Nonunitary Dynamics with Optimal State Preparation Cost
Linear Combination of Hamiltonian Simulation for Nonunitary Dynamics with Optimal State Preparation Cost
复制标题
非单一动力学哈密顿模拟与最优状态准备成本的线性组合
DOI：
10.1103/physrevlett.131.150603
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发表时间：
2023
影响因子：
8.6
通讯作者：
Lin, Lin
中科院分区：
文献类型：
--
作者：
An, Dong;Liu, Jin-Peng;Lin, Lin
我们提出了一种简单的方法来模拟一类一般的非酉动力学作为哈密顿模拟（LCHS）问题的线性组合。LCHS并不完全依赖于将问题转化为扩展线性系统问题或谱映射定理。后者是许多量子算法的数学基础，用于解决涉及非酉过程的各种任务，例如量子奇异值变换。LCHS方法在状态制备方面可以达到最优的成本。我们还演示了使用对所有参数具有近最优依赖性的复吸收势方法在开放量子动力学模拟中的应用。
We propose a simple method for simulating a general class of nonunitary dynamics as a linear combination of Hamiltonian simulation (LCHS) problems. LCHS doesnotrely on converting the problem into a dilated linear system problem or on the spectral mapping theorem. The latter is the mathematical foundation of many quantum algorithms for solving a wide variety of tasks involving nonunitary processes, such as the quantum singular value transformation. The LCHS method can achieve optimal cost in terms of state preparation. We also demonstrate an application for open quantum dynamics simulation using the complex absorbing potential method with near-optimal dependence on all parameters.