aiqbench analysis
This research demonstrates how the fundamental quantum property of time-reversal symmetry ($\Theta^2 = \pm 1$) can be extracted from classical measurement records, effectively bridging quantum topological invariants with observable classical data streams. By encoding this sign into the signature of a probability matrix, the study provides a method to detect half-integer spin characteristics without direct access to the underlying quantum state, advancing our understanding of how quantum information persists in macroscopic traces.
Kramers' Theorem Leaves a Topological Footprint in Classical Records
arXiv:2610.06661v1 Announce Type: new Abstract: Time reversal $\Theta$ 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, $\Theta^2=\pm1$. 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.
Abstract:Time reversal $\Theta$ 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, $\Theta^2=\pm1$. 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.
arXiv:2610.06661 [quant-ph]
(or arXiv:2610.06661v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2610.06661 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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Full text under the publisher's open licence · 189 words
