发表机构
Università degli Studi di Palermo; Université Paris Cité; Université de La Réunion; Taiwan Insurance Institute（巴勒莫大学; 巴黎西岱大学; 留尼汪大学; 台湾保险学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究量子态平滑中后选择禁止子空间的条件，提出其与滤波态特征向量及拓扑类奇偶性的关联，并证明上下文性可测。
AI 中文摘要
自1964年以来，处于制备与后选择之间的系统一直没有公认的状态。以正定性为标准，后选择允许围绕对称排序的一个区间，当且仅当它所禁止的子空间由满秩滤波态的特征向量张成。否则，它证明上下文性，可在量子比特上测试。平均滤波态携带记录纠缠谱，因此对称性允许的最小禁止子空间在Haldane类中是偶数维，在平凡类中是奇数维。该奇偶性是记录拓扑类。
英文摘要
A system between a preparation and a post-selection has had no agreed state since 1964. With positivity as the criterion, a post-selection admits an interval of orderings around the symmetric one exactly when the subspace it forbids is spanned by eigenvectors of a full-rank filtered state. Otherwise it certifies contextuality, testable on a qubit. The averaged filtered state carries the entanglement spectrum of the record, so the smallest forbidden subspaces a symmetry allows are even-dimensional in the Haldane class and odd in the trivial one. That parity is the record's topological class.
Comments9 pages, 2 figures, REVTeX 4.2
