QTT Completed-Event Transport and Quantum Coherence

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Authors: Attar Ali
Cited by: 2
References: 3

Abstract

Real-dial dynamics, conditional interactions, and optical interference \[G-F^{T}GF=L^{T}ML,\qquad L=0,\quad FJ=JF\quad\Longrightarrow\quad U_F^\dagger U_F=I.\] When does completed-record transport become unitary quantum evolution? A positive counting metric, a fixed coherent encoding and an oriented real dial supply an exact answer within the declared source class. The positive operator on the right measures information lost outside the retained sector. Zero leakage and dial compatibility yield complex-linear unitary propagation without supplying a target amplitude matrix. Physical preparation and coherent coordinates. An independently identified preparation map now connects the established source-work law to laboratory preparations. Total coherent capacity and its normalized ray are retained separately. Capacity attenuation with a fixed dial reference gives \[\Xi\circ R_m=s_m\circ\Xi,\qquad s_mx=x/\sqrt m,\qquad X_\alpha=\sqrt{C_\alpha}R_J(\theta_\alpha)e_\alpha.\] For desired reduced capacities \(a_\alpha=C_\alpha/m\), actual capacities \(b_\alpha\), and independently calibrated phase errors \(\delta_\alpha\), the exact preparation distance is \[\varepsilon^2=\sum_\alpha\left[(\sqrt{b_\alpha}-\sqrt{a_\alpha})^2+4\sqrt{a_\alpha b_\alpha}\sin^2(\delta_\alpha/2)\right].\] It supplies an explicit work-error tolerance, \(|\Delta W|/E_*\le2\sqrt m\,kR\varepsilon+mk\varepsilon^2+b_0+mb_1\), under the stated operator, amplitude and work-readout bounds. Closed-loop action and curvature pullbacks identify which complete coordinate changes preserve the source test. The preparations and tolerances must be determined independently of the target residual. Populated effective interaction certificates. Direct and image Coulomb work populate an effective valuation table with the inherited photon coefficient. Exact work defects distinguish full positional anharmonicity from coherent-amplitude refinement. A constrained finite-field calculation proves quadratic excess work for affine loading, while canonical loops provide a potential-independent kinetic-action certificate. These are effective field/work exposures, not newly claimed integer-event counts. The four-corner work \(W_\times=V(d+q_b-q_a)-V(d-q_a)-V(d+q_b)+V(d)\) cancels separate trap contributions. With \(\kappa_C=V''(d)\) and a specified third-derivative bound, \[|W_\times+\kappa_Cq_aq_b|\le\tfrac12 M_3|q_aq_b|(|q_a|+|q_b|).\] This gives a finite-amplitude route from independently calibrated static work to predicted exchange. The full preparation, heating and detector model is kept separate from the reserved motion data. The source-coefficient and static-work transfer tracks test different parts of the construction. From finite source qualification to observable error. A finite dual certificate propagates independently established transaction identities to every history with a supplied complete decomposition. Finite-depth work-gradient and action-curvature telescopes retain the unresolved deepest-scale remainders. In a fixed capacity-normalized chart with reference quadratic work \(x^TKx\), source time \(\tau=T/t_A\), bounded force defect \(\epsilon_E\), and curvature defect \(\kappa

Fields of Study & Subjects

Quantum Information and Cryptography Advanced Frequency and Time Standards Quantum Computing Algorithms and Architecture

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
21 September 2026
Language
EN
Document type
Preprint