逆因果自旋模型中的完整探测器记录与情境源定律

中文摘要 AI 辅助

探测器结果概率可以独立于后来的测量设置，即使更早的时间戳、探测器种子或环境记录依赖于该设置。我们刻画了正包裹柯西逆因果自旋源的完整记录保持性。一个对径恒等式为被动和环境读出提供了必要且充分的条件，并且源补偿允许对源自旋和制备的延续使用共同的归一化分析器。高斯控制器和重置计算区分了逆原始历史权重与归一化热操作。量子仪器提供了操作基准，而依赖于设置的可分离源在更早的联合探针处产生依赖于设置的统计。对于两个等宽情境，校准弱探针需要源在迹距离上至少改变 $\operatorname{sech}(2g)/8$ 才能在每个非零强度下实现精确保护。该信号-源变化权衡对于这对情境是尖锐的。情境正历史构造恢复了隐藏的孤立定律，并为指定类别的有限自适应量子仪器保留了记录，受限于量子校准和受限场访问。对附加似然场的直接读出以单位概率区分两个未来轴。解析结果得到了连续角度和量子轨迹模拟、确定性求积以及有限策略类穷举枚举的支持。该分析涉及指定的统计模型；其微观物理实现仍是一个开放问题。

英文摘要

Detector outcome probabilities can be independent of a later measurement setting even when earlier timestamps, detector seeds, or environmental records depend on that setting. We characterize complete-record preservation for a positive wrapped-Cauchy retrocausal spin source. An antipodal identity yields necessary and sufficient conditions for passive and environmental readouts, and source compensation permits a common normalized analyzer for source spins and prepared continuations. Gaussian controller and reset calculations distinguish inverse raw history weights from normalized thermal operations. A quantum instrument provides an operational benchmark, whereas a setting-dependent separable source produces setting-dependent statistics at an earlier joint probe. For two equal-width contexts, a calibrated weak probe requires a minimum source change of $\operatorname{sech}(2g)/8$ in trace distance for exact protection at every nonzero strength. The signal--source-change tradeoff is sharp for this pair of contexts. A contextual positive-history construction recovers the isolated hidden law and preserves records for a specified class of finite adaptive quantum apparatuses, subject to quantum calibration and restricted field access. Direct readout of an added likelihood field distinguishes two future axes with unit probability. The analytical results are supported by continuous-angle and quantum-trajectory simulations, deterministic quadrature, and exhaustive enumeration of a finite policy class. The analysis concerns the specified statistical models; their microscopic physical realization remains an open question.

发表机构

• Monash University（莫纳什大学）

机构由 AI 辅助整理，请以论文原文为准。