量子重复码作为大周期离散时间晶体的积木
Quantum repetition codes as building blocks of large period discrete time crystals
摘要：
离散时间晶体（DTC）是具有奇异可观测动力学的物质的非平衡相。它们的显着特征之一是它们对频率的一小部分周期性驱动的响应。然而，目前成功的实验仅限于实现具有倍周期和三倍周期可观察动态的DTC，仅形成DTC相位的非常小的子集。在实验室中创建更大的周期性DTC仍然是一个长期的挑战，但它对于开发DTC的技术应用是必要的，例如，作为高度纠缠量子比特的量子存储器，或者探索次谐波动力学之外的有趣特征，例如，时间域中的凝聚态现象。通过突出DTC和量子纠错之间的连接，我们设计了一个一般的和现实的计划，用于建设DTC表现出任何大的周期可观察的动态，这是可观察的，即使在足够小的系统尺寸。我们的建议使用一组自旋1/2链来模拟硬件级别的重复代码，它具有实现鲁棒可观测动态的基本属性。它很容易实现与现有的超导或捕获离子量子处理器，使新的家庭DTC实验在不久的将来。
英文摘要：
Discrete time crystals (DTCs) are nonequilibrium phases of matter with exotic observable dynamics. Among their remarkable features is their response to a periodic drive at a fraction of its frequency. Current successful experiments are however only limited to realizing DTCs with period-doubling and period-tripling observable dynamics, forming only a very small subset of DTC phases. Creating larger periodic DTCs in the lab remains a longstanding challenge, yet it is necessary for developing the technological applications of DTCs, e.g., as a quantum memory for highly-entangled qubits, or exploring interesting features beyond subharmonic dynamics, e.g., condensed matter phenomena in the time domain. By highlighting the connection between DTCs and quantum error correction, we devise a general and realistic scheme for building DTCs exhibiting any large period observable dynamics, which is observable even at sufficiently small system sizes. Our proposal uses an array of spin-1/2 chains to simulate a repetition code at the hardware level, which has essential properties to realize robust observable dynamics. It is readily implemented with existing superconducting or trapped-ion quantum processors, making new families of DTCs experimentally accessible in the immediate future.
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