Bridge Paper Q: Quantum Computing × WCM — Structural Bridges Between a 4D Geometric Scanner and Quantum Information Processing

The Watabe-Claude Method (WCM) is a four-dimensional occupancy-statistics framework built on the 24-cell polytope, previously applied to seismology, fluid dynamics, quantum mechanics (Bridge Paper S), photosynthesis, and large language models (Bridge Paper L). This paper reports on WCM-PL v1.2's newly generalized Sensor abstraction (PL-10) and its two associated diagnostics (PL-9 two-layer occupancy/relational fingerprinting; PL-11 population-matched noise floor), and identifies three points where these new tools intersect concretely with quantum information processing: (1) the E8Sensor's 240-root lattice is the identical mathematical object used in provably-optimal multimode Gottesman-Kitaev-Preskill (GKP) bosonic quantum error-correcting codes and in 2026-era large-language-model key-value-cache quantization; (2) the PL-9 relational-layer diagnostic (true two-point correlation R2(s) against the GUE sine-kernel prediction) implements the same statistical test used to validate the Bohigas-Giannoni-Schmit quantum-chaos conjecture and Porter-Thomas-distribution-based quantum-supremacy random circuit sampling claims, with a real-data false-positive (prime gaps mimicking GUE repulsion due to integer-valued discreteness) offered as a methodological caution for that literature; (3) the SoftmaxSensor's temperature dial is structurally analogous to measurement-strength-tunable POVM formalisms and to threshold-adjustable analog in-memory-computing hardware for digital-analog hybrid AI accelerators. All three bridges are structural correspondences grounded in shared mathematics, with explicit limitations distinguishing them from literal claims of quantum computation or validated quantum-hardware experimentation. See Section 7 (Honesty and Limitations) for the full epistemic scope. We protect the Life using The WCM.