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Results for “topological” 23 papers
Error correction. Codes, fault tolerance, logical qubits Tagged papers: 97.
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…
Synthetic Vacuum Photonic Lattices: A Quantitative Feasibility Analysis of Room-Temperature, Gauge-Protected Fibonacci Anyon Computing
Large-scale fault-tolerant quantum computation currently requires cryogenic operation and an active error-correction layer whose ancilla, syndrome-extraction and magic-state overheads dominate the resource budget of any scalable processor. A conjectured alternative is a room-temperature solid-state…
Fault‑Tolerant Quantum Memory as a Thermodynamic Phase in a 4‑D Topological Photonic Lattice
Passive protection of quantum information can be achieved when a material phase possesses a bulk energy gap that exceeds the ambient thermal energy. Existing self‑correcting memory proposals rely on many‑body Hamiltonians that are difficult to engineer. We propose a concrete photonic implementation…
Thermodynamic Scaling Limit of Active Quantum Error Correction
Active quantum error correction (QEC) underpins fault‑tolerant quantum computation, yet its control circuitry dissipates heat that must be removed by cryogenic infrastructure. A hard scalability limit arises when the localized power density generated by control pulses exceeds the Kapitza thermal…
Falsifying Geometrically Inspired Quantum Error‑Correcting Codes via Distinct Logical‑Error Scaling
Geometric constructions of quantum error‑correcting codes (QECCs) have been proposed as alternatives to standard topological codes, yet their physical relevance remains ambiguous. Existing proposals lack a testable prediction that distinguishes them from surface‑code scaling of logical error rates.…
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…
Braid Group Representations and Modular Data: Non-Uniqueness, Finite Images, and the Ising Test Case
A central question in the theory of topological order asks whether the braid group representation $B_N$ carried by $N$ non-Abelian anyons uniquely determines the modular data — the $S$ and $T$ matrices — of the underlying topological quantum field theory. We reconcile three lines of analysis into a…
Braid Group Representations, Modular Data, and the Classification of Majorana Zero Mode Fusion Rules in 2D Topological Superconductors
Majorana zero modes (MZMs) localized on vortices of a two-dimensional topological superconductor carry a projective representation of the braid group, and the associated anyon theory is encoded in a modular tensor category whose fusion rules and modular data ($S$ and $T$ matrices) determine the…
Braid Group Representations, Modular Data, and the Classification of Majorana Zero Mode Fusion Rules in 2D Topological Superconductors
We investigate whether the braid group representation on $N$ anyons uniquely determines the modular data ($S$ and $T$ matrices) of a non-Abelian topological order, and whether this framework classifies all fusion rules for Majorana zero modes (MZMs) in 2D topological superconductors. We show that…
Majorana Zero‑Mode Parity, the Hexagon Equation, and the Necessity of Chiral Edge Modes in Two‑Dimensional Topological Superconductors
Topological quantum computation requires non‑Abelian anyons whose braiding implements fault‑tolerant logical gates. In two‑dimensional topological superconductors, vortices bind Majorana zero modes (MZMs) that furnish a projective braid‑group representation. A persistent open question is whether the…
Adelic Quantum Error Correction: A Synthesis Across All Primes v1.0.0
The $p$-adic quantum error correction program has developed three independent but connected strands: a mathematical theory of $p$-adic stabilizer codes (Phase A), an experimental protocol to test for ultrametric error structure (Phase B), and a hardware co-design proposal for tree-structured qubit…
The Qubit Delusion: How Particle Ontology Sabotaged Quantum Computing
The quantum computing industry has absorbed approximately $35 billion in global investment over two decades while delivering zero commercially viable machines. This paper argues that the failure is not merely an engineering delay but an epistemic crisis: the dominant qubit-gate-circuit model of…
Adelic Quantum Error Correction: Intrinsic Qubit Protection from Ostrowski
We formalize an adelic approach to quantum error correction (QEC) based on Ostrowski's theorem: the only non-trivial completions of the rational numbers are the Archimedean (real) completion $\mathbb{R}$ and the p-adic completions $\mathbb{Q}_p$, and these topologies are mutually singular. The…
Topological Aliasing and Holographic Readout
URL: https://papers.qnfo.org/papers/topological-aliasing-and-holographic-readout/ Date: 2026-03-23 Version: 1.0 The foundation of modern physical theories relies heavily on the continuous nature of real numbers. This mathematical framework assumes that space and time can be divided infinitely…
Gauge-Invariant Field Theory of Signal-Worker Interactions
The transition of Quantum Architectonics from a materials-centric discipline to a fundamental ontology of information-matter interaction necessitates a rigorous field-theoretic description. This study bridges that gap by promoting the Signal-Worker ontology to a continuous Gauge-Invariant Quantum…
Superconductivity Quadrangle
The engineering of robust, decoherence-resistant topological qubits is currently impeded by a fragmented approach to material design that often treats control parameters in isolation. This study introduces and computationally validates the “Superconductivity Quadrangle,” a unified framework…
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…
Phase Transitions of Logic
The realization of fault-tolerant universal quantum computation is currently hindered by a fundamental dichotomy between substrate controllability and intrinsic robustness. This paper introduces the “Universal Hamiltonian Computational Substrate” (UHCS) framework to quantitatively compare two…
Twisted Cuprate Twistronics and the Thermodynamic Scaling of Topological Quantum Computation
The induction of a 25 meV chiral topological gap in 45-degree twisted Bi-2212 heterostructures enables intrinsically protected quantum computation at 4 Kelvin, effectively resolving the thermodynamic and input-output bottlenecks that constrain current millikelvin superconducting architectures.
Engineering Macroscopic Quantum Coherence in Disordered Moiré Metamaterials
The study of moiré materials is defined by a central paradox: the experimental observation of robust, macroscopic quantum phases, such as superconductivity and topological insulation, in devices known to possess significant atomistic disorder. This work bridges this “disorder-topology gap” by…
Thermodynamic Viability and the Universality of Feynman Matter
The dominant paradigm for universal quantum computation, predicated on active error correction, is fundamentally constrained by a thermodynamic wall, a phase transition where the entropy produced by control operations catastrophically overwhelms the system. This study quantifies this constraint,…
Thermodynamics of Structural Persistence (Topological Memory)
The prevailing paradigm in quantum information preservation—active intervention—relies on continuous, energy-intensive error correction cycles to suppress entropic decay. This approach faces a fundamental scaling limitation: the latency horizon, where the time delay of the control loop exceeds the…
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…
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