Qupertino: Pure MLX Array Kernels versus Hand-Tuned Metal Shaders for Quantum Circuit Simulation on Apple Silicon

arXiv:2609.19147 · quant-ph · Submitted 2026-07-09 · Read on arXiv

quant-ph

Submitted: 2026-07-09

Updated: 2026-07-09

Code: https://github.com/BoltzmannEntropy/Qupertino

Project page: https://boltzmannentropy.github.io/QupertinoWEB

Terminology

• Benchmark — 45× in this paper · explained in 2 episodes
• Ablation — 16× in this paper · explained in 1 episode
• Benchmarking — 11× in this paper · explained in 3 episodes
• Entanglement — 8× in this paper · explained in 3 episodes
• Core — 7× in this paper · explained in 2 episodes
• Alignment — 5× in this paper · explained in 1 episode
• Verification — 5× in this paper · explained in 2 episodes
• Consistency — 4× in this paper · explained in 3 episodes
• Failure Modes — 4× in this paper · explained in 3 episodes
• State Management — 4× in this paper · explained in 3 episodes
• Graph Construction — 3× in this paper · explained in 3 episodes
• Adam — 2× in this paper · explained in 2 episodes
• Provenance — 2× in this paper · explained in 4 episodes
• Quantum Approximate Optimization Algorithm — 2× in this paper
• Quantum Circuit Born Machine — 2× in this paper
• Quantum Circuits — 2× in this paper · explained in 2 episodes
• Quantum Fourier Transform — 2× in this paper
• Abstraction — 1× in this paper · explained in 1 episode
• Accuracy — 1× in this paper · explained in 1 episode
• Calibration — 1× in this paper · explained in 7 episodes
• Energy Efficiency — 1× in this paper · explained in 3 episodes
• Generative Modeling — 1× in this paper · explained in 3 episodes
• Modularity — 1× in this paper · explained in 9 episodes
• Multipartite Entanglement — 1× in this paper · explained in 2 episodes

Sources

• cuQuantum SDK: A High-Performance Library for Accelerating Quantum Science
• PennyLane: Automatic differentiation of hybrid quantum-classical computations
• An approximate Fourier transform useful in quantum factoring
• Open Quantum Assembly Language
• A Quantum Approximate Optimization Algorithm
• Benchmarking the performance of quantum computing software
• MQT Bench: Benchmarking Software and Design Automation Tools for Quantum Computing
• QuantumToolbox.jl: An efficient Julia framework for simulating open quantum systems
• Harnessing Integrated CPU-GPU System Memory for HPC: a first look into Grace Hopper
• Simulation of Quantum Computers: Review and Acceleration Opportunities
• SupermarQ: A Scalable Quantum Benchmark Suite

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• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity