论文标题
远程纠缠的新实现：替代拓扑顺序的分形性
A new realization of the long-range entanglement: fractality replacing the topological order
论文作者
论文摘要
拓扑排序状态所揭示的著名远程纠缠的本质是短距离相关性和非局部信息的矛盾共存，无法通过恒定的深度局部量子电路去除。它在不同量子状态下的实现是量子计算和量子问题的重点研究主题。但是，被证明的实现受拓扑顺序（包括扩展）的范式，即通过具有宏观代码距离的量子代码结构。在这里，我们通过严格证明在新的具体状态下的共存来扩大远程纠缠状态的知识。该状态描述了新实验发现的分形晶格几何（1.58d）上的Qudits，量子代码结构已证明不存在，即没有拓扑顺序。我们的结果可能会揭示一个新的范式，以实现多体量子状态的远程纠缠，并可能刺激连接量子信息和量子问题的新研究。
The essence of the famed long-range entanglement as revealed in topologically ordered state is the paradoxical coexistence of short-range correlation and nonlocal information that cannot be removed through constant-depth local quantum circuits. Its realization in different quantum states is a focus research topic in both quantum computation and quantum matter. However, the proved realizations are subject to the paradigm of topological order (including its extensions), i.e. via a quantum code structure with macroscopic code distance. Here, we broaden the knowledge of long-range entangled states by rigorously proving the coexistence in a new concrete state. The state describes qudits on the newly experimentally discovered fractal lattice geometry (1.58D) on which the quantum code structure has been shown not to exist, i.e., there is no topological order. Our result might reveal a new paradigm for the realization of the long-range entanglement in many-body quantum states, and might stimulate new studies connecting quantum information and quantum matter.
