Published December 18, 2025 | Version v1
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The Complexity-Gated Unitary (CGU): Entanglement Pruning for O(1) Average Complexity in a Base-24 Qudit Quantum Computer

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Description

This dataset provides the complete numerical validation for the UFT-F quantum computing framework. It demonstrates a novel method for bypassing the $O(\log^2 d)$ scaling bottleneck of the Quantum Fourier Transform (QFT) using a complexity-gated approach, alongside topological stability proofs for high-dimensional qudit manifolds.

File Name Category Role in the Proof
AQuantumComputer (6).pdf Primary Thesis The formal paper containing the LaTeX derivations, ACI axioms, and the Complexity-Gated Unitary (CGU) theory.
hopf_calibration.npy Physics Data The high-resolution Hopf-phase calibration map used by the OS to neutralize environmental drift.
crosstalk2.py Viability Proof (From our previous step) The mathematical derivation proving $d=24$ is the minimum geometric requirement for stability.
proofByImpossibility.py Comparative Proof Demonstrates the collapse of Fault-Tolerance in rival dimensions ($d=23, 25$).
perfect_calibrated_os.py Core Logic The "Operating System" that integrates the Hopf-map with real-time PID correction.
QE2.py Complexity Proof Validates the "Redundancy Cliff" and the $\sim 49\%$ efficiency gain (Amortized $O(1)$ scaling).
shorFactors.py Algorithmic Proof Full execution of Shor's Algorithm (factoring 15) on the stabilized logical register.
nextGenTest3.py QEC Proof Demonstrates the 3-qudit repetition code and syndrome emergence under Lindblad noise.
final_fleet_benchmark.py Stress Test Large-scale statistical validation of the architecture across varying drift conditions.
plot.py Visualizer Generates the performance curves comparing UFT-F stability against standard uncalibrated systems.

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AQuantumComputer.pdf

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Additional details

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