论文标题

曲奇代码哈密顿及其基态的非扰动浮动工程

Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state

论文作者

Petiziol, Francesco, Wimberger, Sandro, Eckardt, André, Mintert, Florian

论文摘要

从理论上讲,我们基于时间周期驾驶的量子旋转液体的量子型模型,提出了一种量子代码哈密顿的量子模拟方案。我们制定了一种混合连续数字策略,该策略利用了目标哈密顿量中不同术语的通勤性。它允许人们以非扰动的方式实现所需的四体相互作用,从而实现强耦合并抑制不希望的过程。此外,我们设计了一种最佳协议,用于准备高保真地拓扑有序的接地状态。还讨论了拓扑设备的原则实施及其用于模拟拓扑相变的使用。拟议的方案在具有可调耦合的超导Qubits的体系结构中发现了自然实现。

We theoretically propose a quantum simulation scheme for the toric-code Hamiltonian, the paradigmatic model of a quantum spin liquid, based on time-periodic driving. We develop a hybrid continuous-digital strategy that exploits the commutativity of different terms in the target Hamiltonian. It allows one to realize the required four-body interactions in a nonperturbative way, attaining strong coupling and the suppression of undesired processes. In addition, we design an optimal protocol for preparing the topologically ordered ground states with high fidelity. A proof-of-principle implementation of a topological device and its use to simulate the topological phase transition are also discussed. The proposed scheme finds natural implementation in architectures of superconducting qubits with tuneable couplings.

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