论文标题

Transmon量子计算机的准周期性图案的扰动分析:多体定位的增强

Perturbative Analysis of Quasi-periodic Patterning of Transmon Quantum Computers: Enhancement of Many-Body Localization

论文作者

Varvelis, Evangelos, DiVincenzo, David P.

论文摘要

最近,已经显示,Transmon Qubit体系结构经历了多体局部和量子混沌阶段之间的过渡。虽然对于量子计算至关重要,即系统仍处于本地化状态,但实现这一目标的最常见方法取决于约瑟夫森交界参数的疾病。在这里,我们提出了参数的准周期性图案,作为随机疾病的替代品。我们证明,使用Walsh-Hadamard诊断,甲虫碘性比实现定位的障碍更有效。为了研究我们新的哈密顿量对大型实验相关的系统尺寸的本地化特性,我们使用了两个互补的扰动理论方案,一种关于多体相互作用,另一个相对于自由汉密尔顿的跳跃参数。

Recently it has been shown that transmon qubit architectures experience a transition between a many-body localized and a quantum chaotic phase. While it is crucial for quantum computation that the system remains in the localized regime, the most common way to achieve this has relied on disorder in Josephson junction parameters. Here we propose a quasi-periodic patterning of parameters as a substitute for random disorder. We demonstrate, using the Walsh-Hadamard diagnostic, that quasiperiodicity is more effective than disorder for achieving localization. In order to study the localizing properties of our new Hamiltonian for large, experimentally relevant system sizes, we use two complementary perturbation-theory schemes, one with respect to the many-body interactions and one with respect to hopping parameter of the free Hamiltonian.

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