Abstract

In this work, we consider a general form of the dynamics of open quantum systems determined by the Gorini–Kossakowsky–Sudarchhan–Lindblad type master equation with simultaneous coherent and incoherent controls with three particular forms of the two-qubit Hamiltonians. Coherent control enters in the Hamiltonian and incoherent control enters in both the Hamiltonian and the superoperator of dissipation. For these systems, we analyze the control problems of generating two-qubit C-NOT, SWAP, and C-Z gates using with piecewise constant controls and stochastic optimization in the form of an adapted version of the dual annealing algorithm. In the numerical experiment, we analyze the minimal infidelity obtained by the dual annealing for various values of strength of the interaction between the system and the environment.

中文翻译：

---

使用相干和非相干控制以及随机优化为两个量子位生成 C-NOT、SWAP 和 CZ 门

摘要

在这项工作中，我们考虑了由 Gorini-Kossakowsky-Sudarchhan-Lindblad 型主方程确定的开放量子系统动力学的一般形式，该主方程具有同时相干和非相干控制以及两种量子位哈密顿量的三种特定形式。相干控制进入哈密顿量，非相干控制进入哈密顿量和耗散超算子。对于这些系统，我们分析了使用分段常数控制和随机优化（以双退火算法的改编版本的形式）生成两个量子位 C-NOT、SWAP 和 CZ 门的控制问题。在数值实验中，我们分析了系统与环境之间相互作用的不同强度值下通过双重退火获得的最小不保真度。