论文标题
在混合量子处理器上对非平衡稳态的凸优化
Convex Optimization for Nonequilibrium Steady States on a Hybrid Quantum Processor
论文作者
论文摘要
在量子技术的各个领域中，找到开放量子系统的瞬态和稳态特性是一个核心问题。在这里，我们提出了一种量子辅助算法，以确定开放系统动力学的稳态。通过重新制定找到Lindblad动力学的固定点作为可行性半决赛的问题，我们绕过了几个知名的问题，它采用各种量子方法来解决稳态。我们证明了混合方法使我们能够估算较高维量子系统的稳态，并讨论我们的方法如何找到具有对称性系统的系统的多个稳态。
Finding the transient and steady state properties of open quantum systems is a central problem in various fields of quantum technologies. Here, we present a quantum-assisted algorithm to determine the steady states of open system dynamics. By reformulating the problem of finding the fixed point of Lindblad dynamics as a feasibility semidefinite program, we bypass several well-known issues with variational quantum approaches to solving for steady states. We demonstrate that our hybrid approach allows us to estimate the steady states of higher dimensional open quantum systems and discuss how our method can find multiple steady states for systems with symmetries.
