Hybrid quantum-classical (HQC) algorithms make it possible to use near-term quantum devices supported by classical computational resources by useful control schemes. In this paper, we develop an HQC algorithm using an efficient variational optimization approach to simulate open system dynamics under the Noisy-Intermediate Scale Quantum computer. Using the time-dependent variational principle (TDVP) method and extending it to McLachlan TDVP for density matrix which involves minimization of Frobenius norm of the error, we apply the unitary quantum circuit to obtain the time evolution of the open quantum system in the Lindblad formalism. Finally, we illustrate the use of our methods with detailed examples which are in good agreement with analytical calculations.

中文翻译：

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混合量子变分算法，用于模拟具有近期器件的开放量子系统

混合量子经典（HQC）算法可以通过有用的控制方案使用经典计算资源支持的近期量子设备。在本文中，我们开发了一种使用高效变分优化方法的HQC算法，以在Noisy-Inter-Scale Quantum计算机下模拟开放系统动力学。使用时变函数原理（TDVP）并将其扩展到麦克拉克兰TDVP用于密度矩阵，该矩阵涉及最小化误差的Frobenius范数，我们应用the量子电路来获得Lindblad形式主义中开放量子系统的时间演化。最后，我们通过详细的示例来说明我们的方法的使用，这些示例与分析计算非常吻合。