AI 中文总结
该研究在广义概率理论盒世界中，通过构造纯态保持变换，实现了超越量子理论的纠缠生成，揭示了可逆性与纯态保持的物理区别。
AI 中文摘要
纠缠生成是量子信息科学中一项基础的动力学能力，是诸多量子优势的基础。量子理论通过幺正动力学实现纠缠生成，而允许具有超量子关联的波佩斯库-罗里希（Popescu--Rohrlich）盒的广义概率理论——盒世界（boxworld）中，不存在能生成纠缠的可逆变换。我们证明，当将可逆性放宽为纯态保持时，这一禁阻图景会发生根本改变。我们构造了一种纯态保持变换，可将每个无关联纯态映射为一个波佩斯库-罗里希盒，并对最简单的二部盒世界中所有纯态保持的纠缠变换进行了完整分类。我们的结果提供了首个不引入混合的超越量子纠缠生成的明确机制，揭示了可逆性与纯态保持之间的物理区别，而这一区别被量子理论的结构所掩盖。
英文摘要
Entanglement generation is a fundamental dynamical capability in quantum information science and underpins many quantum advantages. While quantum theory enables it through unitary dynamics, boxworld, a generalized probabilistic theory admitting Popescu--Rohrlich boxes with supraquantum correlations, has no reversible transformation capable of generating entanglement. We show that this no-go picture changes fundamentally once reversibility is relaxed to pure-state preservation. We construct a pure-state-preserving transformation that maps every uncorrelated pure state to a Popescu--Rohrlich box and completely classify all pure-state-preserving entangling transformations in the simplest bipartite boxworld. Our results provide the first explicit mechanism for generating beyond-quantum entanglement without introducing mixing and demonstrate a physical distinction between reversibility and pure-state preservation that is obscured by the structure of quantum theory.
Comments13pages, 1 figure
