grapheneaffiliate/QuantumTiler: QuantumTiler v1.0.0 β Quantum-Inspired Adaptive Matrix Multiplication
Abstract
π 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. β¨ 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 π 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% | π¦ 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) π¬ 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