grapheneaffiliate/QuantumTiler: QuantumTiler v1.0.0 – Quantum-Inspired Adaptive Matrix Multiplication

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Authors: Timothy McGirl
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Abstract

πŸš€ Initial Release QuantumTiler uses WKB-style quantum tunneling mathematics with the golden ratio (Ο†) to dynamically compute optimal tile sizes for matrix multiplication based on real-time CPU state. ✨ Key Features Quantum Barrier Math: Tile sizes derived from B(E) = 1.96 Γ— Ξ΄ Γ— |E|^1.5 Real-Time Adaptation: Monitors CPU temp, power, and latency AVX2/FMA3 SIMD: 8-wide vector operations with fused multiply-add OpenMP Parallelization: 8-thread parallel tiling with dynamic scheduling Verified Correct: Zero numerical error in all benchmarks πŸ“Š Performance Results (i7-7700) | Mode | GFLOPS | Improvement | |------|--------|-------------| | Baseline (64-tile) | 60.72 | β€” | | Adaptive (128-tile) | 62.19 | +2.4% | | Stress Mode | 69.82 | +15% | | Peak Observed | 80+ | +49% | πŸ“¦ What's Included src/quantum_tiler.cpp β€” Main C++ implementation docs/QUANTUM_MATH.md β€” Full mathematical derivation benchmarks/ β€” Results and automation scripts Cross-platform CMake build (MSVC, GCC, Clang) πŸ”¬ The Innovation First application of WKB quantum tunneling physics to CPU scheduling for matrix multiplication. No prior work combines golden-ratio barrier potentials with adaptive tiling. Author: Timothy McGirl License: MIT

Fields of Study & Subjects

Parallel Computing and Optimization Techniques Matrix Theory and Algorithms Computer Graphics and Visualization Techniques

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
16 January 2026