论文标题
Sachdev-Ye-Kitaev电路,用于编织和收费Majora零模式
Sachdev-Ye-Kitaev circuits for braiding and charging Majorana zero modes
论文作者
论文摘要
Sachdev-Ye-Kitaev(SYK)模型是多体量子混乱和全息相应的全部相互作用的主要相互作用的模型。在这里,我们构建了旨在捕获Syk Dynamics的关键特征的随机四体门的Floquet floquet量子电路。我们的电路可以使用Majorana设备中的本地成分,即介导的介导的相互作用和编织Majoraana零模式来构建。这提供了通往SYK量子模拟的模拟数字途径,该途径将全部相互作用与Majorana零模式的拓扑保护进行了调解,Majorana零模式是模拟SYK SYK模拟的现有建议中缺少的关键特征。我们还描述了如何通过在Majoragan设备中采用可预见的功能来在此类模拟数字实现中测量的动力学,包括超时的相关功能。
The Sachdev-Ye-Kitaev (SYK) model is an all-to-all interacting Majorana fermion model for many-body quantum chaos and the holographic correspondence. Here we construct fermionic all-to-all Floquet quantum circuits of random four-body gates designed to capture key features of SYK dynamics. Our circuits can be built using local ingredients in Majorana devices, namely charging-mediated interactions and braiding Majorana zero modes. This offers an analog-digital route to SYK quantum simulations that reconciles all-to-all interactions with the topological protection of Majorana zero modes, a key feature missing in existing proposals for analog SYK simulation. We also describe how dynamical, including out-of-time-ordered, correlation functions can be measured in such analog-digital implementations by employing foreseen capabilities in Majorana devices.