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612 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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Energy per answer papers 19 papers
Platform builders, data-centre operators and energy analysts. What a correct answer costs in joules. Joules-per-Solution (JPCUB) definitions and measurements, Landauer and Margolus-Levitin limits, energy and power budgets, and energy benchmarking across quantum, HPC and AI hardware.
Thermodynamic budgets. Thermodynamic and energy accounting Tagged papers: 47.
Thermodynamic Divergence of Active Quantum Error Correction Overhead: A Kapitza-Limited Feasibility Threshold for Gate-Based Architectures
Active quantum error correction (QEC) is conventionally analyzed as an algorithmic resource problem: how many physical qubits and gate cycles are needed per logical qubit. We propose a complementary thermodynamic feasibility criterion. In a gate-based architecture, every QEC cycle is driven by…
The Resource Burden of Active Quantum Error Correction: A Scaling Analysis of Qubit, Bandwidth, and Energy Overheads
Active quantum error correction (QEC) protects quantum information only by continuously consuming physical resources: qubits, measurement bandwidth, classical processing, and energy. While the theoretical foundations of QEC are mature, the resource burden of running a code—rather than constructing…
Thermodynamic Budgeting for Hybrid Quantum-Classical Computing: A Three-Layer Energy Model with Explicit Arithmetic and a 15-Month Validation Roadmap
Hybrid quantum-classical (HQC) computing is the dominant near-term paradigm, yet its energy accounting is rarely made explicit: the classical control, readout, cryogenic, and orchestration hardware surrounding the quantum processing unit (QPU) can dominate the total power budget, eroding any…
Thermodynamic Trade-off Frontiers for Neuromorphic Processors: A Quantum-Inspired Non-Equilibrium Model of the Energy–Speed Boundary
Neuromorphic processors promise order-of-magnitude gains in energy efficiency, but no predictive framework currently connects device-level dissipation to system-level computational throughput. We develop a non-equilibrium thermodynamic model in which a neuromorphic processor is treated as a driven,…
The Margolus-Levitin Bound and Energy-Time Limits for Quantum Computation at the Landauer Scale
The Margolus-Levitin (ML) bound establishes a fundamental limit on the speed of quantum evolution, stating that a system with mean energy $\langle H \rangle$ above its ground state requires a minimum time $\tau \ge \pi\hbar/(2\langle H\rangle)$ to evolve between orthogonal states. This preprint…
Landauer-Limit Energy Floor and JPCUB Normalization for Cryogenic Quantum Control Electronics
Cryogenic quantum control electronics dissipate energy many orders of magnitude above the thermodynamic minimum implied by Landauer's principle, and the gap matters for the joules-per-compute economics of fault-tolerant machines. This paper computes the Landauer floor for a rotated surface-code…
Error Correction Is a Landauer Machine: The Thermodynamic Floor of Quantum Error-Correction Overhead
Every cycle of active (measurement-based) quantum error correction is an erasure process priced by Landauer's principle at no less than kT ln 2 per erased bit; correction overhead therefore converges to a positive thermodynamic floor, (n-k)/k * kT ln 2 per logical qubit per round for an n,k…
The Joules-per-Solution Metric: Definition, Measurement Protocol, and Anti-Gaming Provisions for Honest Computational Benchmarking
We define and formalize the joules-per-solution (J/S) metric as a universal, cross-domain measure of computational energy efficiency. The metric accounts for six energy components: computation, memory, I/O, cooling, power conversion, and amortized manufacturing. We provide a closed-form definition,…
The Physics of Computation: Fundamental Limits and the Honest Boundaries of Post-Classical Computing
Phase III of the Qubit Delusion series. Examines fundamental physical limits on computation: Landauer bound, Margolus-Levitin theorem, Bremermann limit, Bekenstein bound. Shows that quantum error-correction overhead (1e2-1e3 physical operations per logical operation) multiplies thermodynamic cost…
Quantum Abacus
The scalability of active, gate-based quantum computers is fundamentally challenged by the “Thermodynamic Wall,” where the heat from control electronics becomes prohibitive. This study computationally investigates the “Quantum Abacus,” a passive quantum computing architecture that circumvents this…
Spectral Dynamics and Thermodynamic Stability in the Arithmetic Quantum Framework
The scalability of fault-tolerant quantum computing is currently obstructed by a “Thermodynamic Wall,” where the entropy generated by active error correction (QEC) cycles scales exponentially with the number of logical qubits. This research addresses the crisis by proposing a transition from active,…
Autonomous Dissipative Quantum Processing
Current quantum computing architectures face a thermodynamic bottleneck where the energy cost of classical error correction scales superlinearly with system size. Reliance on exogenous classical control imposes a latency and power penalty that renders hybrid paradigms unscalable for exascale…
Thermodynamic Veto
The realization of commercially viable, fault-tolerant quantum computing is precluded not by engineering immaturity but by a fundamental percolation phase transition driven by correlated noise and thermodynamic constraints, which render the required system scales physically uncorrectable. The status…
Escaping the Millikelvin Death Spiral
Standard quantum architectures rely on dilution refrigeration to suppress thermal noise, tethering the industry to a non-scalable 20 mK thermal floor. The cooling power at millikelvin temperatures scales poorly, creating a “mainframe constraint” that limits widespread deployment. Here, a 4-Kelvin…
THERMODYNAMIC AND TOPOLOGICAL CONSTRAINTS ON BIOLOGICAL QUANTUM PROCESSING
This study establishes a rigorous quantitative boundary between engineered quantum systems and biological matter, defined by the thermodynamic cost of information protection. By benchmarking the 2025 Google “Willow” superconducting processor—which requires cryogenic isolation (20 mK) and active…
Thermodynamic Imperative
Standard quantum computing paradigms assume that minimizing temperature is the primary pathway to coherence, driving massive investment in millikelvin dilution refrigeration. However, a fundamental thermodynamic paradox remains unsolved: cooling capacity scales superlinearly with temperature…
Thermodynamic Scaling of 4-Kelvin Topological Processors
Standard superconducting quantum processors are currently constrained by the thermodynamic bottleneck of millikelvin dilution refrigeration, which precludes the integration of high-speed control logic and limits scalability. This reliance on the 20 mK regime creates a “mainframe constraint” where…
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…
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