Majorana 1's Ising Anyon Math: Non-Abelian Braiding, Unverified Topological Qubits — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Microsoft's Majorana 1 chip claims topological qubits via Majorana zero modes, but the mathematical core is the non-Abelian braiding statistics of Ising anyons — not yet peer-verified in the provided sources. | MATH: Topological qubit encoding relies on the fusion rules of Ising anyons: σ × σ = 1 + ψ, with quantum dimension d_σ = √2. Braiding matrices are the Fibonacci-like (but here Ising) representations of the braid group B_n. The ground-state degeneracy on a genus-g surface scales as 2^g (for Ising), and the topological charge conservation enforces parity constraints. No explicit new constants or ratios appear in the search results — only claims of "1000× better" (marketing, not math). | CONNECTION: The √2 quantum dimension is the same as the ratio of the diagonal to the side of a square — a crystallographic root system A1×A1 (square lattice) invariant. Ising anyons are tied to the SU(2)_2 Chern-Simons theory, whose level k=2 relates to the golden ratio only indirectly (Fi
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026majorana,
title = {{Majorana 1's Ising Anyon Math: Non-Abelian Braiding, Unverified Topological Qubits — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23586992},
url = {https://zenodo.org/records/23586992},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Majorana 1's Ising Anyon Math: Non-Abelian Braiding, Unverified Topological Qubits — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/23
PB - Zenodo
DO - 10.5281/zenodo.23586992
UR - https://zenodo.org/records/23586992
AB - FINDING: Microsoft's Majorana 1 chip claims topological qubits via Majorana zero modes, but the mathematical core is the non-Abelian braiding statistics of Ising anyons — not yet peer-verified in the provided sources. | MATH: Topological qubit encoding relies on the fusion rules of Ising anyons: σ × σ = 1 + ψ, with quantum dimension d_σ = √2. Braiding matrices are the Fibonacci-like (but here Ising) representations of the braid group B_n. The ground-state degeneracy on a genus-g surface scales as 2^g (for Ising), and the topological charge conservation enforces parity constraints. No explicit new constants or ratios appear in the search results — only claims of "1000× better" (marketing, not math). | CONNECTION: The √2 quantum dimension is the same as the ratio of the diagonal to the side of a square — a crystallographic root system A1×A1 (square lattice) invariant. Ising anyons are tied to the SU(2)_2 Chern-Simons theory, whose level k=2 relates to the golden ratio only indirectly (Fi Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -