QTT Physical Contact Selection and Predictive Transfer Theorem
Year: 2026
Type: preprint
Abstract: From independently qualified work to one interaction and several observations \[\boxed{L\ker B=\{0\}.}\] When does a device's independently specified work already determine its interaction? In a finite affine constructor, the answer is exact: every unresolved calibration direction must disappear from the observable interaction. The paper proves necessity and sufficiency, constructs a dual certificate, and counts the additional linear probes needed when selection fails. The QTT source-to-contact construction connects geometry, supported work, mode participation and the actual electrode waveform to a single coupling. That same coupling predicts one-excitation transfer, two-excitation redistribution, phase response and parity controls. A finite future-memory theorem identifies what must remain in the retained packet so that later operations cannot reveal something the model discarded. For independently specified insertion magnitudes, the cross-occupation prediction is \[P_{11}=\cos^2(F\Theta),\qquad F^2=f_{2,a}^2+f_{2,b}^2.\] For symmetric-slot modes, the corresponding frequency ratio obeys \[\boxed{\left(\frac{\Omega_2}{2\Omega_1}\right)^2=1-\frac{1}{2K_a}-\frac{1}{2K_b}.}\] Version 2.0 adds complete feasible-set selection, a harmonic three-dimensional drive, unequal-capacity transfer, and the full preparation-to-detector calculation. A cross-Kerr counterexample shows why a perfect one-excitation calibration alone cannot settle the two-excitation prediction. The package contains the manuscript, proofs, executable checks, synthetic examples and a reproducible audit of the public Hou trapped-ion tables. The selection and transfer results are proved within their stated finite classes. The canonical realization shares laboratory probabilities with matched microscopic quantum mechanics; finite-slot discrimination requires independently qualified physical capacities and instruments. The archive is a retrospective eligibility audit. The separate prospective test commits the measurement design before a laboratory supplies its physical capsule. Companion: Artian's Physical Contact Transfer Test. Source dependencies: Completed-Event Transport and Quantum Coherence; QTT Main Book. Independent experimental context: Hou et al., Nature Physics (2024). Browse the corpus. The main PDF is the preview; the ZIP contains the full reconstruction package.
Author: Attar, Ali
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214494020