论文标题

用于模拟使用近期设备的开放量子系统的混合量子变异算法

Hybrid quantum variational algorithm for simulating open quantum systems with near-term devices

论文作者

Mahdian, Mahmoud, Yeganeh, H. Davoodi

论文摘要

混合量子古典(HQC)算法使使用有用的控制方案支持经典计算资源支持的近期量子设备。在本文中,我们使用有效的变分优化方法开发了HQC算法,以模拟在嘈杂的中间尺度量子(NISQ)计算机下的开放系统动力学。使用时间依赖性的变分原理(TDVP)方法,并将其扩展到McLachlan TDVP的密度矩阵,涉及误差的Frobenius Norm的最小化,我们应用统一量子电路以获得Lindblad形式中开放量子系统的时间演化。最后,我们说明了与分析计算非常吻合的详细示例的方法的使用。

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(NISQ) 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.

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