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728 papers from the QNFO program, filed on nine shelves by the reader each one is written for: energy per answer, error correction, physics, numbers and p-adics, logic and formalism, AI and knowledge, autonomous systems, assessments, and cross-cutting essays. Every page renders its mathematics and can be questioned in place. How a living paper works.
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Results for “error correction” 3 papers
Tree geometry. Trees, depth, hierarchies and dendrograms Tagged papers: 34.
Ultrametric Tree Encoding for Passive Quantum Error Confinement: Support Confinement, Barrier Models, and the Limits of the Strong Triangle Inequality
Scalable quantum computing is blocked by the overhead of active error correction: surface-code implementations require on the order of $10^{3}$ physical qubits per logical qubit, repeated syndrome extraction, and low-latency decoding. A recent proposal claims that encoding logical information on a…
p‑Adic Lift‑and‑Shift: Transplanting Elementary Calculus to the 2‑adic Tree and a Primary‑Education Blueprint
Elementary analysis is taught exclusively on the Archimedean real line, yet many scientific domains—hierarchical data mining, ultrametric phylogenetics, and quantum error correction—operate naturally on non‑Archimedean structures. This paper closes the gap by (i) formally identifying the points at…
Qudit Quantum Error Correction
The observation that positional notation carries a native ultrametric tree structure extends into quantum computing through the tensor-product architecture of qubit registers. We formalize three theses: (I) a tree-topology quantum processor confines errors to subtrees via the strong triangle…
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