论文标题
全体量子门的泄漏抑制
Leakage Suppression for Holonomic Quantum Gates
论文作者
论文摘要
以环状量子进化中获得的非亚洲几何阶段可以用作自然资源来构建量子信息处理的稳健尸体性大门。最近，在最近的超导实验中提出并证明了可扩展的自动量子计算（HQC）[T。 Yan等人，物理。莱特牧师。 122，080501（2019）]。但是，对于弱的静脉系统，由于对计算子空间之外的状态泄漏，该HQC的栅极保真度低。在这里，我们提出了一种方案，该方案是通过使用三级超导量子系统的谐振相互作用来通过动力不变构建非绝热的全能门的方案。此外，所提出的方案可以与最佳控制技术兼容，以最大程度地利用泄漏误差的栅极保真度。对于基准测试，我们对在实验条件下计划的性能进行了详尽的分析，这表明与常规HQC相比，栅极误差可以减少多达91.7 \％。此外，通过选择合适的控制参数，可以将泄漏率降低至$ 10^{ - 3} $级别。因此，我们的方案为弱的无谐固态系统中的易耐断层量子计算提供了一种有希望的方法。
Non-Abelian geometric phases acquired in cyclic quantum evolution can be utilized as natural resources for constructing robust holonomic gates for quantum information processing. Recently, an extensible holonomic quantum computation (HQC) was proposed and demonstrated in a recent superconducting experiment [T. Yan et al., Phys. Rev. Lett. 122, 080501 (2019)]. However, for the weakly anharmonic system, this HQC was given of low gate fidelity due to leakage to states outside of the computational subspace. Here, we propose a scheme that to construct nonadiabatic holonomic gates via dynamical invariant using resonant interaction of three-level superconducting quantum systems. Furthermore, the proposed scheme can be compatible with optimal control technology for maximizing the gate fidelity against leakage error. For benchmarking, we provide a thorough analysis on the performance of our scheme under experimental conditions, which shows that the gate error can be reduced by as much as 91.7\% compared with the conventional HQC. Moreover, the leakage rates can be reduced to $10^{-3}$ level by numerically choosing suitable control parameter. Therefore, our scheme provides a promising way towards fault-tolerant quantum computation in a weakly anharmonic solid-state system.
