Microsoft's Majorana 1: Topological Qubit Claims Without Demonstrated Logical Qubits — E8 Intelligence Research

FINDING: Microsoft's Majorana 1 claims a topological qubit platform based on Majorana zero modes (MZMs) in InAs/Al heterostructures — a materials/physics claim, not yet a demonstrated logical qubit. | MATH: MZM operators satisfy γ_i = γ_i† and {γ_i, γ_j} = 2δ_ij (Clifford algebra Cl(R^n)); braiding implements non-Abelian SU(2) transformations via R = exp(iπ/4 · γ_iγ_j). Topological protection gap Δ ~ 1 K scale; error suppression scales as exp(−Δ/k_BT). | CONNECTION: Braiding group B_n (Artin braid group) maps to Clifford/Pauli group; Fibonacci anyons would yield golden-ratio quantum dimensions d = φ = 1.618 (not claimed here — Majorana/Ising anyons have d = √2). | DEPTH: 6 FINDING: Topological quantum computing's core promise is error suppression by topology, not redundancy — the "unbreakable" framing. | MATH: Degeneracy of 2n MZMs = 2^(n−1); ground-state manifold dimension = 2^(n−1). Braiding = unitary rep of B_n; Ising anyons generate only Clifford gates (need magic-state injection Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-27
DOI
https://doi.org/10.5281/zenodo.23690795
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

Microsoft's Majorana 1: Topological Qubit Claims Without Demonstrated Logical Qubits — E8 Intelligence Research

Andrew Stewart Caldin
11 links
Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
preprint

Microsoft's Majorana 1: Topological Qubit Claims Without Demonstrated Logical Qubits — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Microsoft's Majorana 1 claims a topological qubit platform based on Majorana zero modes (MZMs) in InAs/Al heterostructures — a materials/physics claim, not yet a demonstrated logical qubit. | MATH: MZM operators satisfy γ_i = γ_i† and {γ_i, γ_j} = 2δ_ij (Clifford algebra Cl(R^n)); braiding implements non-Abelian SU(2) transformations via R = exp(iπ/4 · γ_iγ_j). Topological protection gap Δ ~ 1 K scale; error suppression scales as exp(−Δ/k_BT). | CONNECTION: Braiding group B_n (Artin braid group) maps to Clifford/Pauli group; Fibonacci anyons would yield golden-ratio quantum dimensions d = φ = 1.618 (not claimed here — Majorana/Ising anyons have d = √2). | DEPTH: 6 FINDING: Topological quantum computing's core promise is error suppression by topology, not redundancy — the "unbreakable" framing. | MATH: Degeneracy of 2n MZMs = 2^(n−1); ground-state manifold dimension = 2^(n−1). Braiding = unitary rep of B_n; Ising anyons generate only Clifford gates (need magic-state injection Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
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