通用纠缠盗用与来自一般局部混沌量子演化的发散非局域魔法

中文摘要 AI 辅助

我们证明，从乘积态出发，局部幺正量子演化生成的中间态具有多尺度纠缠谱结构，该结构是通用纠缠盗用所必需的。这促进了从催化剂多体态中提取纠缠，同时使其渐近不变。值得注意的是，这些非典型结构在中间阶段普遍出现，远在达到最大熵（此时热化已抹平谱层级）之前。所得态伴随有随系统大小发散的非局域非稳定子性，这与最近建立的通用盗用与发散非局域魔法之间的等价性一致。因此，无需任何精细调谐，混沌量子演化即可生成形成通用催化储库族的中间态。

英文摘要

We show that, starting from a product state, local unitary quantum evolutions generate intermediate states which exhibit a multiscale entanglement-spectrum structure required for universal entanglement embezzlement. This facilitates entanglement extraction from a catalyst many-body state while leaving it asymptotically unchanged. Remarkably, these atypical structures emerge generically at intermediate stages, well before reaching maximum entropy where thermalization has flattened out the spectral hierarchy. The resulting state is accompanied by nonlocal nonstabilizerness that diverges with the system size, consistent with a recently established equivalence between universal embezzlement and divergent nonlocal magic. Thus, without any fine tuning, a chaotic quantum evolution generates intermediate states which form a universal family of catalytic reservoirs.

发表机构

• Aalto University（阿尔托大学）
• Tampere University（坦佩雷大学）
• Helsinki Institute of Physics（赫尔辛基物理研究所）
• Loughborough University（拉夫堡大学）

机构由 AI 辅助整理，请以论文原文为准。