近日，爱尔兰都柏林大学学院的Steve Campbell与土耳其伊斯坦布尔花园城市大学的Baris Cakmak合作取得一项新进展。经过不懈努力，他们验证了幺正量子门受控哈密顿方法的鲁棒性。相关研究成果已于2023年8月25日在国际知名学术期刊《物理评论A》上发表。
该研究团队研究了采用反绝热驱动、Floquet工程和逆向工程这三种源于量子控制方法的方式实现量子门的有效性和弹性。研究人员从门失真度、基于能量成本的相关资源开销、对计时误差的敏感性以及环境噪声下的退化等方面批判性地分析了它们的性能。尽管所采取的动态路径存在显著差异，但研究人员发现在实现目标门的效率和资源开销方面，三种方法的行为大致一致。
此外，研究人员确定控制场的函数形式在确定门操作的保真度方面起着至关重要的作用。这项研究结果被单量子比特门，特别是Hadamard门所证实，研究人员还讨论了扩展到N量子比特操作的可行性。
附：英文原文
Title: Robustness of controlled Hamiltonian approaches to unitary quantum gates
Author: Eoin Carolan, Baris Cakmak, Steve Campbell
Issue&Volume: 2023/08/25
Abstract: We examine the effectiveness and resilience of achieving quantum gates employing three approaches stemming from quantum control methods: counterdiabatic driving, Floquet engineering, and inverse engineering. We critically analyze their performance in terms of the gate infidelity, the associated resource overhead based on energetic cost, the susceptibility to timekeeping errors, and the degradation under environmental noise. Despite significant differences in the dynamical path taken, we find a broadly consistent behavior across the three approaches in terms of the efficacy of implementing the target gate and the resource overhead. Furthermore, we establish that the functional form of the control fields plays a crucial role in determining how faithfully a gate operation is achieved. Our results are demonstrated for single-qubit gates, with particular focus on the Hadamard gate, and we discuss the extension to N-qubit operations.
DOI: 10.1103/PhysRevA.108.022423
Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.108.022423
来源:科学网 小柯机器人