Open research library
Papers you can read, cite and question
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.
Looking for an answer rather than a paper? Ask the whole corpus: answers cite the papers they come from.
Results for “error correction” 16 papers
Bruhat–Tits trees. Bruhat-Tits trees used as the model space Tagged papers: 61.
Passive Fault Tolerance via Bruhat–Tits Tree Codes: Exact Ball-Code Error Rates, Energy Barriers, and the Cooling Wall of Active Quantum Error Correction
Large-scale quantum computation is gated by active error correction: stabilizer codes such as the surface code require physical-to-logical overheads of $10^{2}$–$10^{4}$, continuous syndrome measurement, and millikelvin refrigeration whose thermodynamic cost grows as the operating temperature falls.…
Passive Quantum Error Correction via Ultrametric Geometry on Bruhat–Tits Trees
Scalable quantum computing is limited by the thermodynamic overhead of active error‑correction cycles, which require repeated syndrome extraction, low‑latency decoding, and large ancilla resources. A quantitative gap exists: no fully derived account shows how non‑Archimedean (ultrametric) geometry…
Ultrametric Passive Fault Tolerance on Bruhat–Tits Trees: Analytic Derivation and Quantitative Projections
Quantum computing today is limited by the large physical‑to‑logical qubit overhead required for active error correction, which demands frequent syndrome extraction, low‑latency decoding, and extensive ancilla resources. A proposed alternative encodes logical information on the vertices of a $p$‑adic…
Ultrametric Passive Fault Tolerance on Bruhat–Tits Trees: Analytic Derivation and Numerical Projections
Fault‑tolerant quantum computation currently demands a physical‑to‑logical qubit overhead of $10^{2}$–$10^{4}$, a cost that limits near‑term scalability. A major gap is the lack of a passive protection mechanism that does not require syndrome extraction or additional ancilla qubits. We analytically…
Regular Ternary Tree Codes and Symmetric Exponential Energy Barriers for Passive Quantum Error Correction
Quantum error correction (QEC) currently relies on active syndrome extraction, which incurs large qubit overheads. A conjectured passive scheme encodes logical information on the vertices of a regular ternary Bruhat–Tits tree, exploiting the ultrametric triangle inequality to create an energy…
Ultrametric Passive Error Correction on \(p\)-ary Bruhat–Tits Trees: Barrier Analysis and Recursive Thresholds
Fault‑tolerant quantum computation presently depends on active stabilizer codes such as the surface code, which require repeated syndrome extraction, low‑latency decoding, and large ancilla overhead. A fundamentally different approach would encode logical qubits on the vertices of a regular…
Ultrametric Quantum Error Correction on Bruhat–Tits Trees: Energy Barriers, Classical Evidence, and the Quantization Question
Passive fault tolerance—protection of logical qubits by encoding geometry alone, without repeated syndrome measurement—would remove the dominant overhead in scalable quantum computing if it could be made to work for quantum information rather than only for classical bits. We study a conjectured…
Holographic Quantum Error Correction on Bruhat–Tits Trees: A Conditional Threshold and Resource Analysis at $10^{-4}$
The holographic quantum error‑correction (QEC) architecture that implements encoding as a renormalization‑group (RG) flow on a Bruhat–Tits tree $\mathcal{T}_p$ claims a physical error‑rate threshold $\epsilon_{th}\ge10^{-4}$. No hardware data accompany the proposal, so we construct a fully explicit…
Ultrametric Geometry as Passive Quantum Error Correction: Bruhat–Tits Qudit Codes and the Non-Archimedean Bound
Active quantum error correction (QEC) dominates the overhead of scalable quantum processors, requiring repeated syndrome extraction, low-latency decoding, and large ancilla counts that inflate hardware cost and energy consumption. A passive alternative that eliminates measurement cycles would reduce…
Holographic Quantum Error Correction as AdS/CFT Renormalization‑Group Flow on Bruhat–Tits Trees: A Conditional Threshold Analysis at $10^{-4}$
Quantum error‑correction (QEC) thresholds determine whether physical error rates can be suppressed to arbitrarily low logical error probabilities. A recent proposal encodes logical information as a renormalization‑group (RG) flow on a $p$‑adic Bruhat–Tits tree $\mathcal{T}_p$, with a bosonic…
The Adelic Cross-Domain Program: From the Fine-Structure Constant to the Standard Model Mass Spectrum via Bruhat-Tits Trees
We present a unified synthesis of a six-avenue research program revealing that the renormalization group, bosonic quantum error correction, holographic AdS/CFT, Efimov physics, and the Standard Model mass spectrum share a common geometric substrate: the Bruhat–Tits tree $\mathcal{T}_p$ of $p$-adic…
The Adelic ZBW Programme: ZBW-Majorana Hypothesis, Ostrowski-QEC Synthesis, and Cross-Programme Consilience
The ZBW-Majorana hypothesis, developed across four companion papers (P1--P4), establishes that Zitterbewegung (ZBW) --- the rapid trembling motion of Dirac fermions at the Compton scale --- is a $\mathbb{Z}_2$ topological observable that distinguishes Dirac from Majorana fermions at the hardware…
The Adelic Cross-Domain Program v5.0: From the Fine-Structure Constant to the Standard Model Mass Spectrum via Bruhat–Tits Trees
We present a unified synthesis of a six-avenue research program revealing that the renormalization group, bosonic quantum error correction, holographic AdS/CFT, Efimov physics, and the Standard Model mass spectrum share a common geometric substrate: the Bruhat–Tits tree $\mathcal{T}_p$ of $p$-adic…
The Adelic Cross-Domain Program: From the Fine-Structure Constant to the Standard Model Mass Spectrum via Bruhat-Tits Trees (Phase 3-4 Update)
We present a unified synthesis of a six-avenue research program revealing that the renormalization group, bosonic quantum error correction, holographic AdS/CFT, Efimov physics, and the Standard Model mass spectrum share a common geometric substrate: the Bruhat–Tits tree $\mathcal{T}_p$ of $p$-adic…
Zitterbewegung as a p-Adic Observable: Ultrametric Readout and Intrinsic Topological Protection
The Zitterbewegung (ZBW) of a Dirac fermion — the rapid oscillatory motion at the Compton frequency arising from interference between positive- and negative-energy states — has resisted direct experimental observation for nearly a century. The standard interpretation attributes this to the Compton…
KINETIC ISOMORPHISM
The schism between the time-reversible, unitary laws of quantum mechanics and the irreversible, adaptive nature of biological systems constitutes a central failure of modern ontology. We propose the kinetic isomorphism, a unified theoretical framework demonstrating that “static” matter and “active”…
New papers by email
One short weekly digest: titles and links. No tracking; unsubscribe any time.