多体量子系统的超图表示
On Hypergraph Representation of Multipartite Quantum Systems
AI总结：
本文借鉴弦论相关几何联系，研究用于多体量子系统的超图框架，建立超图态与量子态动力学的关联，指出退相干限制大尺寸超图态实现，强调长相干时间与强多体耦合的重要性。
AI中文摘要：
借鉴弦论紧化中卡拉比-丘流形奇点与 toric 几何之间的联系，本文研究一种用于多体量子系统的超图框架，将图表示扩展至高阶量子关联。通过在多体哈密顿量相互作用中引入超边，建立了超图态与量子态动力学之间的关联，对应的哈密顿量超图揭示了所有可能多体相互作用的层级。然而，退相干效应对大尺寸超图态的实现构成限制，研究结果表明长相干时间与强多体耦合对实现大尺寸超图态至关重要。
英文摘要：
Borrowing ideas from the link between Calabi-Yau singularities and toric geometry in string theory compactifications, a hypergraph framework for multipartite quantum systems, extending graph representations to higher-order quantum correlations, is investigated. By implementing hyperedges in many-body Hamiltonian interactions, an interplay between hypergraph states and quantum state dynamics is established. The corresponding Hamiltonian hypergraph reveals the hierarchy of all possible multipartite interactions. However, the decoherence effects impose constraints on the realization of large hypergraph states. The findings show the importance of long coherence times and strong many-body couplings for the realization of large hypergraph states.
