发表机构
Dipartimento di Fisica e Chimica “Emilio Segrè”, Università degli Studi di Palermo; Université Paris Cité and Université de La Réunion; Life Actuarial Department, Taiwan Insurance Institute(巴勒莫大学物理与化学系; 巴黎西岱大学和留尼汪大学; 台湾保险学院精算系)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文证明时间反演符号Θ^2=±1可通过经典记录的概率矩阵签名读出,并在量子处理器上约10^3次测量中实现,为拓扑信息保留提供新途径。
AI 中文摘要
时间反演算符Θ在自旋半整数上平方为-1,因此每个态与其时间反演态正交。这一符号此前仅从量子对象中读取。平衡态会丢失该符号,但经典记录保留了它。对于能分辨手性的探测器,一段记录后接另一段记录的时间反演的概率度量了时间反演的cohomology类,Θ^2=±1。它们的矩阵在签名中携带此符号,这是一个在发射和吸收损失相等时仍存活的拓扑整数。在量子处理器上编程的发射器在大约10^3次测量中读取它。
英文摘要
Time reversal $Θ$ squares to $-1$ on a half-integer spin, so every state is orthogonal to its time reverse. This sign has been read only from quantum objects. The equilibrium state loses it, but the classical record keeps it. For a detector that resolves handedness, the probabilities that one stretch of record is followed by the time reverse of another measure the cohomology class of time reversal, $Θ^2=\pm1$. Their matrix carries this sign in its signature, a topological integer that survives equal emission and absorption losses. A programmed emitter on quantum processors reads it in about $10^3$ shots.
Comments8 pages, 3 figures, including 2 pages of End Matter