用局部测量和经典通信研究状态的全局和拓扑顺序:量子能量隐形传态对SPT相图的研究

IF 4.2 Q2 QUANTUM SCIENCE & TECHNOLOGY AVS quantum science Pub Date : 2023-09-01 DOI:10.1116/5.0164999
Kazuki Ikeda
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引用次数: 0

摘要

通过局部操作和经典通信(LOCC)区分非局部顺序,包括状态的全局和拓扑顺序,是一项非常重要和具有挑战性的任务,因为状态的拓扑是由多体系统的全局特征决定的,例如系统的对称性和它所基于的拓扑空间。在这里,我们报告说,我们使用量子能量隐形传态协议再现了伊辛模型和对称保护拓扑相的相图,该协议利用基态和LOCC的纠缠特性预测了远程观察者之间的非平凡能量传输。我们使用的模型包括Haldane模型、AKLT模型和Kitaev模型。因此,我们的方法为确定和量化各种凝聚态物理和统计力学中的相变奠定了一个新的通用实验框架。
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Investigating global and topological orders of states by local measurement and classical communication: Study on SPT phase diagrams by quantum energy teleportation
Distinguishing non-local orders, including global and topological orders of states through solely local operations and classical communications (LOCC), is a highly non-trivial and challenging task since the topology of states is determined by the global characteristics of the many-body system, such as the system's symmetry and the topological space it is based on. Here, we report that we reproduced the phase diagram of Ising model and symmetry protected topological phases using the quantum energy teleportation protocol, which foresees non-trivial energy transfer between remote observers using the entanglement nature of the ground state and LOCC. The model we use includes the Haldane model, the AKLT model, and the Kitaev model. Therefore, our method paves a new general experimental framework to determine and quantify phase transitions in various condensed matter physics and statistical mechanics.
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