论文标题
开放量子系统稳态的变分量子算法
Variational Quantum Algorithms for Steady States of Open Quantum Systems
论文作者
论文摘要
解决与开放量子系统有关的问题引起了许多兴趣。在这里，我们提出了一种变异量子算法，以找到开放量子系统的稳态。在此算法中，我们采用参数化的量子电路来准备稳态的纯化并基于Lindblad Master方程来定义成本函数，可以通过量子电路进行有效评估。然后，我们优化量子电路的参数以找到稳态。数值模拟是在具有耗散通道的一维横向iSing模型上进行的。结果表明，最佳混合状态与真实稳态之间的保真度超过99 \％。该算法源自用纯化表达混合状态的自然思想，并为开放量子系统的研究提供了参考。
Solving problems related to open quantum systems has attracted many interests. Here, we propose a variational quantum algorithm to find the steady state of open quantum systems. In this algorithm, we employ parameterized quantum circuits to prepare the purification of the steady state and define the cost function based on the Lindblad master equation, which can be efficiently evaluated with quantum circuits. Then we optimize the parameters of the quantum circuit to find the steady state. Numerical simulations are performed on the one-dimensional transverses field Ising model with dissipative channels. The result showed that the fidelity between the optimal mixed state and the true steady state is over 99\%. This algorithm is derived from the natural idea of expressing mixed states with purification and provides a reference for the study of open quantum systems.
