Layered Spectral–Quantum Decision Architecture for Constrained Logistics Resilience

Abstract

Resilient logistics now has to absorb irregular lead times, energy ceilings, unit-load conflicts, and contested custody at the same time. This article assembles a layered decision architecture in which two-sided FKF/FKL spectra diagnose multi-echelon traces, a digital twin carries the synchronized state, and a QUBO / quantum-annealing kernel proposes unit-load-device recoveries that remain inside an energy-aware, human-gated feasible set. Shift-invariant and exponentially modulated identities keep clock offset and intensity drift from being misread as structural change; distributional pairing on a testing-function space and sequential convergence allow bursty Internet of Things packets to update the twin without a regime reset. Hash-chain provenance and a power-line-carrier integrity bit separate physical compromise from ordinary telemetry faults. Industry 5.0 swipe authorization remains a distinct layer: prediction is not release. The paper specifies professional equations, a constraint-gated Hamiltonian, an evaluation protocol against classical heuristics, and indicator language for later yard trials. Adjacent artificial-intelligence and digital-twin studies in engineered materials and processing are cited only as methodological parallels, not as logistics evidence. Keywords— Supply chain resilience; Quantum logistics; Quantum annealing; QUBO optimization; Unit-load-device configuration; FKF transform; FKL transform; Digital twins; Artificial intelligence; Blockchain traceability; Intelligent transportation systems; Sustainable logistics; Energy-aware logistics; Industry 5.0; Disruption management.