Succinct Description and Efficient Simulation of Non-Markovian Open Quantum Systems
Succinct Description and Efficient Simulation of Non-Markovian Open Quantum Systems
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DOI：
10.1007/s00220-023-04638-4
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发表时间：
2021-11
影响因子：
2.4
通讯作者：
Xiantao Li;Chunhao Wang
中科院分区：
文献类型：
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作者：
Xiantao Li;Chunhao Wang
当量子系统与浴环境耦合时，非马尔可夫开放量子系统代表了最一般的动力学。许多重要应用中的量子动力学都是非马尔可夫的。虽然对于特殊情况，如哈密顿演化和林德布拉德演化，量子模拟算法已经得到了广泛的研究，有效的量子模拟非马尔可夫开放量子系统的动力学仍然没有得到充分的探索。研究这类系统最直接的障碍是缺乏对它们的动力学的普遍简洁的描述。在这项工作中，我们完成了差距的研究这样的动力学（1）提供了一个简洁的表示的非马尔可夫开放量子系统的动力学可量化的错误，（2）开发一个有效的量子算法模拟这样的动力学与成本的进化速度和精度。我们的简洁表示的推导是基于随机薛定谔方程，这也可能导致新的替代方案来处理开放的量子系统。
Non-Markovian open quantum systems represent the most general dynamics when the quantum system is coupled with a bath environment. The quantum dynamics arising from many important applications are non-Markovian. Although for special cases, such as Hamiltonian evolution and Lindblad evolution, quantum simulation algorithms have been extensively studied, efficient quantum simulations for the dynamics of non-Markovian open quantum systems remain underexplored. The most immediate obstacle for studying such systems is the lack of a universal succinct description of their dynamics. In this work, we fulfill the gap of studying such dynamics by (1) providing a succinct representation of the dynamics of non-Markovian open quantum systems with quantifiable error, and (2) developing an efficient quantum algorithm for simulating such dynamics with costfor evolution timetand precision. Our derivation of the succinct representation is based on stochastic Schrödinger equations, which could lead to new alternatives to deal with open quantum systems as well.