论文标题

通过路径优化的非绝热载体量子计算

Nonadiabatic Holonomic Quantum Computation via Path Optimization

论文作者

Ji, Li-Na, Liang, Yan, Shen, Pu, Xue, Zheng-Yuan

论文摘要

非绝热的全能量子计算(NHQC)是通过快速演化过程以几何方式实现的,以承受局部噪声。但是,实施NHQC的最新工作对系统的噪声和错误敏感。在这里,我们提出了基于非亚洲几何阶段的路径优化的NHQC(PONHQC)方案,并发现可以通过不同的进化路径来构造几何栅极,这些进化路径对系统的噪声具有不同的响应。由于PONHQC方案的灵活性,我们可以选择一条优化的路径,该路径可以导致出色的栅极性能。数值模拟表明,就门的忠诚度和鲁棒性而言,我们的优化方案可以极大地超过常规的NHQC方案。此外,我们建议通过使用实验友好的两体交换相互作用来实施使用无腐蚀子空间编码超导量子电路的策略。因此,我们提出了一种灵活的NHQC方案,该方案有望实现未来的稳健量子计算。

Nonadiabatic holonomic quantum computation (NHQC) is implemented by fast evolution processes in a geometric way to withstand local noises. However, recent works of implementing NHQC are sensitive to the systematic noise and error. Here, we present a path-optimized NHQC (PONHQC) scheme based on the non-Abelian geometric phase, and find that a geometric gate can be constructed by different evolution paths, which have different responses to systematic noises. Due to the flexibility of the PONHQC scheme, we can choose an optimized path that can lead to excellent gate performance. Numerical simulation shows that our optimized scheme can greatly outperform the conventional NHQC scheme, in terms of both fidelity and robustness of the gates. In addition, we propose to implement our strategy on superconducting quantum circuits with decoherence-free subspace encoding with the experiment-friendly two-body exchange interaction. Therefore, we present a flexible NHQC scheme that is promising for the future robust quantum computation.

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