A quantum algorithm for evolving open quantum dynamics on quantum computing devices
A quantum algorithm for evolving open quantum dynamics on quantum computing devices
复制标题
DOI：
10.1038/s41598-020-60321-x
复制
发表时间：
2020-02-24
影响因子：
4.6
通讯作者：
Kais, Sabre
中科院分区：
文献类型：
--
作者：
Hu, Zixuan;Xia, Rongxin;Kais, Sabre
设计用于模拟量子系统的量子算法已经取得了巨大的进展，但针对开放量子动力学的量子算法的研究却很少，尽管它在模拟大多数真实物理模型中的系统与环境相互作用方面具有重要意义。在这项工作中，我们提出并证明了一个通用的量子算法，以在量子计算设备上演化开放的量子动力学。在Sz.-Nagy定理的保证下，控制时间演化的Kraus算子可以转化为具有最小伸缩的酉阵。这允许通过么正量子门演化初始态，同时使用比传统Stinespring膨胀所需的资源少得多的资源。我们使用IBM Qiskit量子模拟器和IBM Q5 Tenerife量子器件在幅度衰减信道上演示了该算法。该算法不需要特定的动力学模型或量子通道的分解，因此可以很容易地推广到其他开放的量子动力学模型。
Designing quantum algorithms for simulating quantum systems has seen enormous progress, yet few studies have been done to develop quantum algorithms for open quantum dynamics despite its importance in modeling the system-environment interaction found in most realistic physical models. In this work we propose and demonstrate a general quantum algorithm to evolve open quantum dynamics on quantum computing devices. The Kraus operators governing the time evolution can be converted into unitary matrices with minimal dilation guaranteed by the Sz.-Nagy theorem. This allows the evolution of the initial state through unitary quantum gates, while using significantly less resource than required by the conventional Stinespring dilation. We demonstrate the algorithm on an amplitude damping channel using the IBM Qiskit quantum simulator and the IBM Q 5 Tenerife quantum device. The proposed algorithm does not require particular models of dynamics or decomposition of the quantum channel, and thus can be easily generalized to other open quantum dynamical models.