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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” 20 papers
The Zitterbewegung Current Correlator as a $\mathbb{Z}_2$ Invariant: Vanishing ZBW Signal as a Hardware-Level Diagnostic of the Majorana Condition
Certifying that a candidate excitation in a topological-qubit device is a true Majorana zero mode rather than an ordinary Dirac fermion or a trivial Andreev bound state remains an unsolved hardware-level problem, and the same Dirac-versus-Majorana question has consumed decades of effort in neutrino…
BQP_physical: Bounding Universal Quantum Computation under Correlated Noise and Causality Constraints
Universal gate‑based quantum computers promise exponential speed‑ups for problems such as integer factorisation, yet commercial‑scale devices remain absent. The gap originates from physical limits that are not captured by the abstract class BQP. We formalise a new class BQP_physical that…
Differential Einthoven‑Inspired Readout for Superconducting Qubit Measurement: Theory and Projected Fidelity Gains
Readout error dominates the overhead of quantum error correction in superconducting processors, limiting logical error rates and scaling prospects. Existing dispersive readout chains suffer from common‑mode disturbances such as amplifier drift, thermal fluctuations, and stray coupling, which add…
Passive Error Rejection via Cryo-Fluidic Topological Phases: A Feasibility Analysis of the Topological Matter Engine
Active quantum error correction imposes a large and growing overhead of physical qubits, control electronics, and entropy-exporting measurement cycles on every scalable quantum processor. This paper examines a proposed alternative: a "Topological Matter Engine" in which errors are rejected…
Booklet Cosmological States as Random-Tensor Codes: Recovery Bounds and Entropic Diagnostics for Multi-Boundary Baby Universes
Cosmological states in holography can contain closed "baby" universes inaccessible to any single asymptotic boundary, raising the question of whether the information they carry is recoverable, and from where. The booklet cosmology construction extends the two-boundary cosmological-state proposal of…
Entanglement Wedge Reconstruction Beyond the Large \(N\) Limit via the Twirled Petz Map
Entanglement wedge reconstruction (EWR) furnishes the most precise holographic statement of bulk locality: the bulk region bounded by the quantum extremal surface is recoverable from a chosen boundary subregion. At leading order in the large‑\(N\) expansion this statement is underpinned by modular…
Beyond Pure Dephasing: A Quantitative Analysis of Two-Level Error Correction for Multi-Spin Molecular Qubits
Molecular spin systems exhibit a natural hierarchy of decoherence channels: fast pure dephasing (characterized by the transverse relaxation time T₂) and comparatively slow energy relaxation (characterized by T₁). A recent proposal argues that fault-tolerant quantum computing with molecules requires…
The Adelic Physics Program: Epistemological Foundations and Communications Framework
The QNFO Adelic Physics Program proposes that the physically accessible base field of physics is ℚ (the rational numbers), not ℝ (the real numbers). Ostrowski's theorem — a proven result in number theory — then demands that all p-adic completions of ℚ be physically meaningful, transforming the…
Consilience Between Physics and Number Theory: Convergent Theses from Ostrowski's Theorem to Adelic Quantum Mechanics
We synthesize convergent evidence from physics (quantum mechanics, quantum field theory, zitterbewegung, quantum error correction, the Standard Model mass spectrum) and number theory (Ostrowski's theorem, Tate's thesis, the Riemann zeta function, Bruhat-Tits buildings, the adele ring) into a unified…
Vanishing ZBW Signal: The ZBW-Majorana Hypothesis as a Unified Framework for Topological Fermion Distinction
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 Revolutionary Beginner's Guide to Quantum Computing: Why We Don't Have Quantum Computers Yet — and What the Geometric Alternative Offers
A 20-chapter beginner's guide to quantum computing that starts with an honest question — why don't we have quantum computers yet? — rather than the usual "here's what a qubit is." The guide teaches the standard curriculum (qubits, entanglement, algorithms, error correction) accurately, explains why…
Zitterbewegung as a p-Adic Observable: Ultrametric Readout and Intrinsic Topological Protection for Majorana Qubits
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…
Alpha Pi Project
The Alpha Pi project begins with a practical engineering challenge: quantum states are exquisitely fragile, decohering rapidly due to environmental noise. This fragility stems not merely from technical limitations but from a deeper mathematical vulnerability: the continuous real‑number field that…
Ratio-Based Adelic Physics
The tension between continuous Archimedean spacetime paradigms and discrete, non-Archimedean topological realities constitutes the central mathematical bottleneck in modern complexity science, hindering the unification of quantum mechanics, spin glass phase dynamics, and cognitive psychophysics.…
Ultrametric Relaxation Dynamics in Topological Quantum Memory
The scalability of Topological Quantum Computing (TQC) is currently impeded by a “Thermodynamic Wall,” where the entropy generation from active error correction cycles scales exponentially with logical qubit count. This paper proposes a paradigm shift from active gate synthesis to passive…
Continuous Signal Processing for Josephson Junction Readout
The prevailing architecture of superconducting quantum information processing relies heavily on the Josephson junction, yet its dual role as both a qubit-defining non-linear inductor and a latching readout element creates a fundamental tension in measurement dynamics. While the former enables the…
Hamiltonian Engineering of Topological Deconfinement in Weyl Semimetals
The theoretical existence of the magnetic monopole has long represented a foundational prediction in physics, with significant implications for technology. However, astrophysical constraints (the Parker Bound) render the extraction of cosmic monopoles physically and economically non-viable. This…
Chiral High-Temperature Topological Processing
By replacing active syndrome extraction with passive topological protection derived from the 25 meV spectral gap of 45-degree twisted Bi-2212, the architecture circumvents the cooling power limitations of dilution refrigeration to enable the monolithic integration of classical control logic at 4…
CRYOGENICALLY STABILIZED SYNTHETIC LATTICE
We present the design and physical operating principles of a rack-mountable photonic hardware platform designed to instantiate a synthetic vacuum capable of passive quantum error rejection. Unlike conventional quantum processors that rely on algorithmic error correction, this architecture utilizes…
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”…
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