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Results for “thermodynamic” 20 papers
Error correction. Codes, fault tolerance, logical qubits Tagged papers: 97.
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…
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.…
Thermodynamic Feedback Limits on the Scalability of Surface‑Code Quantum Error Correction
Quantum error correction (QEC) is essential for fault‑tolerant quantum computation, yet the control electronics, wiring, and cryogenic heat load required for each correction cycle generate heat that raises the qubit temperature and thereby increases the intrinsic physical error rate. This creates a…
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…
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…
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…
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 Scaling Paradox of Surface-Code Quantum Error Correction: Exponential Suppression, Logarithmic Overhead, and a Landauer Floor That Grows with Reliability
Surface-code quantum error correction (QEC) is widely regarded as the leading route to fault-tolerant quantum computation, yet its resource story contains an under-examined tension we call the scaling paradox: the code suppresses logical errors exponentially in code distance $d$, so the…
Ensemble Dependence of Critical Exponents at Quantum Error Correction Thresholds: Analytic Mechanisms and Statistical Consequences
Ensemble equivalence — the expectation that microcanonical, canonical, and grand-canonical descriptions of a system agree in the thermodynamic limit — is a cornerstone of statistical mechanics, yet it can fail for observables that probe exponentially rare events. Recent work on a simplified quantum…
A Lower Bound on Energy Cost per Logical-Qubit Operation in Surface-Code Quantum Error Correction
Surface-code quantum error correction translates one logical qubit into a two-dimensional array of physical qubits, and the energy cost of that translation is rarely quantified at the level of a logical operation. This paper specifies a minimal, convention-explicit energy model for a rotated…
Error Correction Is a Landauer Machine: The Thermodynamic Floor of Quantum Error-Correction Overhead
Quantum error correction is priced almost exclusively in combinatorial currency: rate, distance, threshold. The physical bill — the energy paid for performing the correction itself — goes unpriced by the field's headline metrics. This paper prices it. Every cycle of active (measurement-based) error…
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,…
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…
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.
Thermodynamic and Informational Bottlenecks of Scalable Fault-Tolerant Quantum Computation
The promise of fault-tolerant quantum computation rests on its ability to solve certain intractable problems exponentially faster than classical computers. However, this theoretical promise is challenged by a cascade of interconnected physical bottlenecks, where the act of scaling quantum resources…
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…
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…
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