All quantum systems are subject to noise from the environment or external controls. This noise is a major obstacle to the realization of quantum technology. For example, noise limits the fidelity of quantum gates. Employing optimal control theory, we study the generation of quantum single and two-qubit gates. Specifically, we explore a Markovian model of phase and amplitude noise, leading to the degradation of the gate fidelity. We show that optimal control with such noise models generates control solutions to mitigate the loss of gate fidelity. The problem is formulated in Liouville space employing an extremely accurate numerical solver and the Krotov algorithm for solving the optimal control equations.

中文翻译：

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使用最优控制理论减轻量子门中的控制器噪声


所有量子系统都会受到环境或外部控制的噪声的影响。这种噪声是实现量子技术的主要障碍。例如，噪声限制了量子门的保真度。采用最优控制理论，我们研究了量子单量子位门和双量子位门的生成。具体来说，我们探索了相位和幅度噪声的马尔可夫模型，导致门保真度下降。我们证明，使用此类噪声模型进行最优控制可以生成控制解决方案，以减轻门保真度的损失。该问题在刘维尔空间中采用极其精确的数值求解器和用于求解最优控制方程的克罗托夫算法来表述。