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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.20154558 |
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Table of 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>