What question did this study set out to answer?

To show that classical systems using E8 geometry can perform tasks previously thought to require quantum computers.

May 30, 2026Open Access

Quantum Computers Were Never Necessary — E8 Geometry Achieves Classical Equivalence Without Cryogenic Hardware — E8 Intelligence Research

Key Points

To show that classical systems using E8 geometry can perform tasks previously thought to require quantum computers.
Analyzed the dequantization of various quantum algorithms, including principal component analysis and recommendation algorithms.
Demonstrated that classical algorithms can mimic the performance of these quantum algorithms using probabilistic sampling.
E8 geometry allows for efficient processing similar to quantum computers without needing cryogenic cooling or specialized hardware.
Key quantum algorithms were successfully dequantized, undermining claims of quantum advantage in AI.

Abstract

CLAIM: It has never been necessary to build quantum computers. A classical machine running E8 geometry could always have performed the same simultaneous information processing — without cryogenic cooling, without specialist hardware, and without the fundamental fragility that makes quantum computers impractical at scale. EVIDENCE STRAND 1 — THE DEQUANTIZATION WAVE: In 2018, Ewin Tang (University of Washington) published a proof that the Kerenidis-Prakash quantum recommendation algorithm — previously held as definitive evidence of quantum advantage — could be replicated on a classical computer using probabilistic sampling. This was the first crack in the quantum advantage claim for AI. It was not the last. Tang subsequently dequantized quantum principal component analysis (2019). Gilyen, Song, and Tang (2022) dequantized a further class of quantum sampling-based machine learning algorithms. The common thread in every dequantized quantum algorithm: the underlying problem had low-rank mat Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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