标题： 从可编程 Rydberg 原子阵列中的长程量子纠缠实现分数阶 显示英文标题

标题： Realizing fracton order from long-range quantum entanglement in programmable Rydberg atom arrays

摘要： 存储量子信息，与经典计算机中的信息不同，需要对抗量子退相干，这会导致随时间推移信息丢失。 为了实现抗错误的量子内存，人们希望将信息存储在通过设计的简并态的量子叠加态中，使得局部噪声源无法将一种状态转换为另一种状态，从而防止量子退相干。 一个有前景的概念是分形子序——一种具有大量基态简并度的物质相，其简并度随着系统大小以次扩展的方式增长。 不幸的是，实现分形子的模型对实验实施不友好，因为它们需要数量相当多（大约十的数量级）的量子比特之间的非自然相互作用。 我们展示了如何通过利用仅在编码量子比特和辅助量子比特之间成对相互作用产生的长程量子纠缠来克服这一限制，这在可编程的里德伯原子光镊阵列中是可行的。 我们表明，这个平台还可以在实现真正抗错误量子内存的目标过程中检测和纠正某些类型的错误。 显示英文摘要

摘要： Storing quantum information, unlike information in a classical computer, requires battling quantum decoherence, which results in a loss of information over time. To achieve error-resistant quantum memory, one would like to store the information in a quantum superposition of degenerate states engineered in such a way that local sources of noise cannot change one state into another, thus preventing quantum decoherence. One promising concept is that of fracton order -- a phase of matter with a large ground state degeneracy that grows subextensively with the system size. Unfortunately, the models realizing fractons are not friendly to experimental implementations as they require unnatural interactions between a substantial number (of the order of ten) of qubits. We demonstrate how this limitation can be circumvented by leveraging the long-range quantum entanglement created using only pairwise interactions between the code and ancilla qubits, realizable in programmable tweezer arrays of Rydberg atoms. We show that this platform also allows to detect and correct certain types of errors en route to the goal of true error-resistant quantum memory.