QIRT-RCS Benchmark v1: Symbolic Collapse Shaping on IBM Sherbrooke (8500 + 25,000 shots)

This dataset presents benchmark results for the QIRT-RCS (Quantum Information Refinement Theory – Random Circuit Sampling) circuit executed on IBM’s Sherbrooke superconducting backend. The QIRT-RCS circuit leverages symbolic slope-shaped rz gates, interlocked cz entanglement, and ancilla feedback to sculpt collapse dynamics and induce non-random amplitude attractors in the output distribution. Two shot-count regimes were tested: 8,500 shots: Initial entropy and clustering confirmation 25,000 shots: High-fidelity structure persistence and scaling Both runs include: Raw OpenQASM job metadata (*-info.json) Full output measurement data (*-result.json) Statistical results indicate: Shannon entropy consistently near 5.97 bits (out of 6), confirming broad state diversity Z-score standard deviations above 4.0, strongly deviating from random baselines Emergence of stable, repeated attractor states across shots These findings support the hypothesis that QIRT-based symbolic shaping can steer quantum collapse into structured outcome spaces under real hardware noise conditions, without post-selection or simulation enhancement. © 2025 Axion Metrics LLC. All rights reserved. This dataset and its underlying circuit designs are part of an ongoing body of research conducted by Kris Knudsen under the Quantum Information Refinement Theory (QIRT) framework. The QIRT-RCS circuit architecture—including symbolic collapse shaping via structured rz, entangled cz, and ancilla-based feedback—is the intellectual property of Axion Metrics LLC. These designs are protected under U.S. copyright law and are currently under active international patent development. No part of this dataset, including methods, circuit topology, or derived output patterns, may be reused or integrated into derivative quantum algorithms without prior written consent. Commercial or institutional reproduction, redistribution, or adaptation is expressly prohibited without a licensing agreement. Educational or non-commercial citation is permitted with proper attribution to: Knudsen, Kris (2025). QIRT-RCS Benchmark v1. Axion Metrics LLC. https://axiosmetrics.com