Nonadiabatic geometric quantum gates that are robust against systematic errors

IF 3.8 2区 物理与天体物理 Q2 PHYSICS, APPLIED
Yan Liang, Yi-Xuan Wu, Zheng-Yuan Xue
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引用次数: 0

Abstract

A nonadiabatic geometric quantum gate is realized by integrating nonadiabatic geometric phases with global geometric features into the unitary quantum control, thereby removing the limitation of a long evolution time in the adiabatic case. However, systematic errors are inevitable in practical quantum control; these lead to the deviation of the evolution from target conditions to inducing geometric phases, smearing the robustness of the induced geometric quantum gates. Here, we present a general theoretical framework with enhanced robustness for geometric quantum gates by preserving fundamental geometric conditions. We first analytically evaluate the influence of systematic errors on geometric gates and then propose an optimized approach to mitigate this influence. Numerical simulations indicate that, as the geometric conditions are still maintained in the presence of systematic errors in our scheme, the constructed geometric quantum gates exhibit strong robustness, far superior to that of conventional schemes. Furthermore, we propose implementing the scheme in superconducting quantum circuits, where geometric quantum gates can achieve high fidelity with current experimental parameters. Therefore, the enhanced gate performance highlights the promise of our scheme for large-scale quantum computations.

Abstract Image

可抵御系统误差的非绝热几何量子门
非绝热几何量子门是通过将具有全局几何特征的非绝热几何相整合到单元量子控制中来实现的,从而消除了绝热情况下演化时间长的限制。然而,在实际量子控制中,系统误差是不可避免的;这些误差导致演化从目标条件偏离到诱导几何相位,削弱了诱导几何量子门的鲁棒性。在此,我们提出了一个通用理论框架,通过保留基本几何条件来增强几何量子门的鲁棒性。我们首先分析评估了系统误差对几何门的影响,然后提出了一种优化方法来减轻这种影响。数值模拟表明,由于我们的方案在存在系统误差的情况下仍能保持几何条件,因此构建的几何量子门表现出很强的鲁棒性,远远优于传统方案。此外,我们建议在超导量子电路中实施该方案,几何量子门可以在当前实验参数下实现高保真。因此,增强的门性能凸显了我们的方案在大规模量子计算中的前景。
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来源期刊
Physical Review Applied
Physical Review Applied PHYSICS, APPLIED-
CiteScore
7.80
自引率
8.70%
发文量
760
审稿时长
2.5 months
期刊介绍: Physical Review Applied (PRApplied) publishes high-quality papers that bridge the gap between engineering and physics, and between current and future technologies. PRApplied welcomes papers from both the engineering and physics communities, in academia and industry. PRApplied focuses on topics including: Biophysics, bioelectronics, and biomedical engineering, Device physics, Electronics, Technology to harvest, store, and transmit energy, focusing on renewable energy technologies, Geophysics and space science, Industrial physics, Magnetism and spintronics, Metamaterials, Microfluidics, Nonlinear dynamics and pattern formation in natural or manufactured systems, Nanoscience and nanotechnology, Optics, optoelectronics, photonics, and photonic devices, Quantum information processing, both algorithms and hardware, Soft matter physics, including granular and complex fluids and active matter.
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