Coherence times for superconducting qubits have greatly improved over time. Moreover, small logical qubit architectures using engineered dissipation have shown great promise for further improvements in the coherence of a logical qubit manifold comprised of few physical qubits. Nevertheless, optimal working parameters for small logical qubits are generally not well understood. This work presents several approaches to finding preferential parameter configurations by looking at three different cases of increasing complexity. We begin by looking at state stabilization of a single qubit using dissipation via coupling to a lossy object. We look at the limiting factors in this approach to error correction, and how we address those by numerically optimizing the parametric coupling strength with the lossy object having an effective time-varying dissipation rate—we call this a pulse-reset cycle. We then translate this approach to more efficient state stabilization to an abstracted three-qubit flip code, and end by looking at the very small logical qubit (VSLQ). By using these techniques, we can further increase logical state lifetimes for different architectures. We show significant advantages in using a pulse-reset cycle over numerically optimized, fixed parameter spaces.

随着时间的流逝，超导量子位的相干时间已大大改善。此外，使用工程耗散的小型逻辑量子位架构已显示出极大的希望，可以进一步改善由少量物理量子位组成的逻辑量子位流形的相干性。然而，对于小型逻辑量子位的最佳工作参数通常不是很了解。这项工作提出了几种方法，通过研究三种不同的复杂性不断增加的情况来查找优先参数配置。我们首先通过耦合到有损对象的耗散来研究单个量子位的状态稳定。我们看一下这种纠错方法中的限制因素，以及我们如何通过对具有有效时变耗散率的有损耗物体的参数耦合强度进行数值优化来解决这些问题，我们将其称为脉冲复位周期。然后，我们将这种方法用于更有效的状态稳定，将其转换为抽象的三量子位翻转代码，最后查看非常小的逻辑量子位（VSLQ）。通过使用这些技术，我们可以进一步增加不同体系结构的逻辑状态生存期。我们展示了在数字优化的固定参数空间上使用脉冲复位周期的显着优势。我们可以进一步增加不同架构的逻辑状态寿命。我们展示了在数字优化的固定参数空间上使用脉冲复位周期的显着优势。我们可以进一步增加不同架构的逻辑状态寿命。我们展示了在数字优化的固定参数空间上使用脉冲复位周期的显着优势。