Digital Quantum Simulation of Open Quantum Systems Using Quantum Imaginary–Time Evolution

Digital Quantum Simulation of Open Quantum Systems Using Quantum Imaginary–Time Evolution
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DOI:
10.1103/prxquantum.3.010320
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发表时间:
2021-03
期刊:
影响因子:
9.7
通讯作者:
Hirsh Kamakari;Shi-Ning Sun;M. Motta;A. Minnich
Hirsh Kamakari;Shi-Ning Sun;M. Motta;A. Minnich
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Hirsh Kamakari;Shi-Ning Sun;M. Motta;A. Minnich

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新兴量子硬件上的量子模拟是一个非常有趣的话题。虽然许多研究集中在计算基态性质或模拟封闭系统的幺正动力学,但开放量子系统由于其普遍存在和丰富的物理行为而成为有趣的研究目标。然而,它们的非幺正动力学在数字量子设备上模拟也不自然。在这里,我们报告的算法的开放量子系统的动力学的Lindblad方程使用适应的量子虚时间演化(QITE)算法的数字量子模拟。我们演示了IBM Quantum的硬件上的算法与模拟的自发辐射的二能级系统和耗散的横向场伊辛模型。我们的工作推进了在量子硬件上模拟开放量子系统动力学的努力。
Quantum simulation on emerging quantum hardware is a topic of intense interest. While many studies focus on computing ground state properties or simulating unitary dynamics of closed systems, open quantum systems are an interesting target of study owing to their ubiquity and rich physical behavior. However, their non-unitary dynamics are also not natural to simulate on digital quantum devices. Here, we report algorithms for the digital quantum simulation of the dynamics of open quantum systems governed by a Lindblad equation using adaptations of the quantum imaginary time evolution (QITE) algorithm. We demonstrate the algorithms on IBM Quantum's hardware with simulations of the spontaneous emission of a two level system and the dissipative transverse field Ising model. Our work advances efforts to simulate the dynamics of open quantum systems on quantum hardware.