aiqbench analysis
This paper establishes microscopic Hamiltonian laws distinguishing classical objectivity from mere decoherence, deriving specific bounds on witness redundancy and information capacity in quantum monitoring scenarios. By analyzing finite-temperature spin-phase baths, the authors clarify how environmental asymmetry is physically required to generate objective records beyond simple pointer state selection. These findings advance fundamental understanding of measurement theory and its implications for scalable quantum architectures where record discrimination must be maintained against thermal noise.
Hamiltonian Thresholds for Objective Records
arXiv:2608.00365v1 Announce Type: new Abstract: Classical objectivity requires an environment to witness a pointer value, not merely to decohere it. We derive microscopic Hamiltonian laws for this distinction. Exact QND product monitoring yields a certified two-edge strong-Darwinism window: sufficient witnesses cross the optimal record-discrimination edge while retaining an unobserved complement that crosses the residual-coherence edge. Under additional regularity assumptions, the supplement gives converse bounds at the same logarithmic scale. For controlled-phase monitors, environmental asymmetry gives a single-fragment information bound, a redundancy converse, and, in efficient i.i.d. streams, an achievable block-capacity law for redundant witnesses. A finite-temperature spin-phase bath shows the physical separation: hot probes can decohere efficiently while losing the local asymmetry needed for objective witnesses.
Abstract:Classical objectivity requires an environment to witness a pointer value, not merely to decohere it. We derive microscopic Hamiltonian laws for this distinction. Exact QND product monitoring yields a certified two-edge strong-Darwinism window: sufficient witnesses cross the optimal record-discrimination edge while retaining an unobserved complement that crosses the residual-coherence edge. Under additional regularity assumptions, the supplement gives converse bounds at the same logarithmic scale. For controlled-phase monitors, environmental asymmetry gives a single-fragment information bound, a redundancy converse, and, in efficient i.i.d. streams, an achievable block-capacity law for redundant witnesses. A finite-temperature spin-phase bath shows the physical separation: hot probes can decohere efficiently while losing the local asymmetry needed for objective witnesses.
6 pages, 2 figures, with 13-page Supplemental Material. Accepted in PRA Letter
arXiv:2608.00365 [quant-ph]
(or arXiv:2608.00365v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2608.00365 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
https://doi.org/10.1103/fm9j-m9lh Focus to learn more DOI(s) linking to related resources
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