Ultrametric Quantum Computing: Foundations, Evidence, and Falsifiable Predictions
Fuente:
Zenodo
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Recurso digital |
| Publié: |
Zenodo
2026
|
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866902063739305984 |
|---|---|
| author | Quni-Gudzinas, Rowan Brad |
| author_facet | Quni-Gudzinas, Rowan Brad |
| contents | <div> <div>Quantum computing is stalled. Despite decades of investment, no quantum computer has solved a problem that a classical computer cannot. The standard explanation — that we need better error correction — assumes the mathematical framework itself is correct. This document argues that the framework is not correct. The assumption that quantum state space is a continuous manifold — inherited from classical physics without scrutiny — may be the root cause of the field's stagnation. Replacing the continuous manifold with an ultrametric (tree-based) geometry provides passive fault tolerance: errors are geometrically confined rather than actively corrected. This document presents the mathematical foundations, computational validation results, and a set of pre-registered falsifiable predictions. If ultrametric encoding produces the predicted error suppression, it offers a path to fault-tolerant quantum computing at 4 K with dramatically reduced qubit overhead. If it does not, the hypothesis is falsified. Either outcome advances the field.</div> </div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20154558 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Ultrametric Quantum Computing: Foundations, Evidence, and Falsifiable Predictions Quni-Gudzinas, Rowan Brad <div> <div>Quantum computing is stalled. Despite decades of investment, no quantum computer has solved a problem that a classical computer cannot. The standard explanation — that we need better error correction — assumes the mathematical framework itself is correct. This document argues that the framework is not correct. The assumption that quantum state space is a continuous manifold — inherited from classical physics without scrutiny — may be the root cause of the field's stagnation. Replacing the continuous manifold with an ultrametric (tree-based) geometry provides passive fault tolerance: errors are geometrically confined rather than actively corrected. This document presents the mathematical foundations, computational validation results, and a set of pre-registered falsifiable predictions. If ultrametric encoding produces the predicted error suppression, it offers a path to fault-tolerant quantum computing at 4 K with dramatically reduced qubit overhead. If it does not, the hypothesis is falsified. Either outcome advances the field.</div> </div> |
| title | Ultrametric Quantum Computing: Foundations, Evidence, and Falsifiable Predictions |
| url | https://doi.org/10.5281/zenodo.20154558 |