Experimental Evidence of Topology-Dependent Error Correlations in Quantum Stabilizer Measurements This dataset presents experimental measurements of stabilizer consistency across multiple four-qubit modules on a 156-qubit superconducting processor. Using an algebraic parity-triangle test in the Y⊗Z basis, we observe statistically significant, topology-dependent deviations from stabilizer consistency (up to 4.86σ), even when measurement and SPAM effects are controlled. These results provide direct experimental evidence that independent local noise models are insufficient to describe real multi-qubit hardware behavior, motivating hardware-aware approaches to quantum error correction and system design. Key Discoveries Module 0 (qubits 0,1,2): 4.86σ deviation (99.9999% confidence) Discovery-level statistical significance Measured YZ₀₂: 0.4725 [95% CI: 0.4617-0.4834] Expected YZ₀₂: 0.4994 Deviation magnitude: 2.68% (0.0268) Module 2 (qubits 8,9,10): 3.76σ deviation (99.98% confidence) Independent confirmation Measured YZ₀₂: 0.5339 [95% CI: 0.5231-0.5447] Expected YZ₀₂: 0.5132 Deviation magnitude: 2.07% (0.0207) Overall Results 2 of 6 tested modules (33%) show >3σ deviations from expected consistency Total measurements: 294,912 quantum circuit executions QPU time: 77 seconds on state-of-the-art hardware Job ID: d61v0lao8gvs73f1gutg (publicly verifiable) Scientific Significance Connection to 2025 Nobel Prize in Physics The 2025 Nobel Prize recognized John Martinis, John Clarke, and Michel Devoret for proving that engineered electrical circuits can exhibit quantum behavior—establishing the physical foundation of superconducting quantum computing. Our work extends this foundation: We demonstrate that when many quantum "artificial atoms" operate together at scale, their error structure exhibits systematic, topology-dependent correlations that challenge simplified noise assumptions commonly used in quantum error correction threshold modeling. Impact on Quantum Error Correction Standard QEC threshold calculations typically assume independent local noise models Our experimental evidence shows topology-dependent deviations from these assumptions Error correction code design may benefit from incorporating hardware-specific correlation structure System architects require hardware-aware characterization for optimal performance Novel Experimental Method Parity-Triangle Consistency Test For Y⊗Z stabilizers, the algebraic relation must hold if stabilizer measurements are consistent: YZ₀₁ · YZ₁₂ = YZ₀₂ (mod 2) We independently measured all three stabilizers: YZ₀₁: Parity of qubits 0 & 1 YZ₁₂: Parity of qubits 1 & 2 YZ₀₂: Parity of qubits 0 & 2 (triangle completion) Result: Two modules show statistically significant deviations with confidence levels far beyond random statistical fluctuation. To our knowledge, this is the first experimental application of a Y⊗Z parity-triangle consistency test on superconducting hardware, enabled by our proprietary π/4 rotation architecture (U.S. Provisional Patent No. 63/952,786). Experimental Rigor Platform IBM Quantum ibm_fez (Heron r2 architecture) 156 qubits total Heavy-hex topology Gate error rates on the order of 10⁻³ State-of-the-art superconducting transmon processor Measurement Protocol 6 four-qubit modules (24 qubits total) 36 circuits (6 per module) 8,192 shots per circuit Job ID: d61v0lao8gvs73f1gutg (publicly verifiable) SPAM Controls State Preparation and Measurement errors were isolated: Ancilla-only measurements: ~98% fidelity No-syndrome controls: verified preparation quality Critical finding: Deviations persist after controlling for static measurement artifacts, indicating dynamic error correlations during circuit execution Statistical Analysis Wilson confidence intervals (95%) Sigma significance testing: σ = (measured - expected) / SE Publication threshold: >3σ (99.7% confidence) Our results: 4.86σ and 3.76σ (both well above threshold) Complete Dataset Contents Raw Experimental Data job-d61v0lao8gvs73f1gutg-result.json (98KB) - Complete IBM Quantum circuit results with all measurement outcomes meta_d61v0lao8gvs73f1gutg.json (5KB) - Circuit metadata including qubit mappings and measurement configurations Analysis & Results yz_syndrome_analysis.json - Complete statistical analysis including: Module-by-module breakdown with confidence intervals Parity consistency calculations Sigma significance values SPAM baseline measurements module_results_table.csv - Summary table with all 6 modules ranked by performance Documentation README.md (11KB) - Comprehensive experimental methodology, results interpretation, theoretical discussion, and reproducibility instructions YZ-sweep.docx (51KB) - Full experimental report with detailed analysis and publication recommendations CITATION.cff - Standardized citation metadata LICENSE - CC BY 4.0 for data, MIT for code Module Performance Summary Rank Module Qubits Y⊗Z Fidelity SPAM σ Deviation Status 1 4 [16,23,22] 61.0% 0.2% 1.89σ 1.05% ✓ Consistent 2 3 [12,13,14] 61.5% 0.8% 1.05σ 0.58% ✓ Consistent 3 1 [4,5,6] 58.7% 1.8% 2.96σ 1.64% Marginal 4 2 [8,9,10] 61.2% 4.3% 3.76σ 2.07% ⚠️ DEVIATION 5 5 [17,27,26] 57.3% 1.7% 2.35σ 1.30% Marginal 6 0 [0,1,2] 50.7% 3.8% 4.86σ 2.68% ⚠️ DEVIATION Overall Statistics Mean Y⊗Z fidelity: 58.4% ± 4.0% Mean SPAM penalty: 2.1% ± 1.4% Mean parity deviation: 1.55% Maximum significance: 4.86σ Statistically significant (>3σ): 2/6 modules (33%) Theoretical Implications Possible Physical Mechanisms The observed topology-dependent deviations may arise from several physical mechanisms: Measurement-induced dephasing: First stabilizer measurement perturbs the system; subsequent measurements see correlated state evolution Qubit crosstalk: Neighboring qubits interact during readout, creating spatially correlated errors Leakage to non-computational states: Transmon |2⟩, |3⟩ levels create dynamics beyond standard Pauli noise models Memory effects in control lines: Microwave pulse reflections, cavity photon lifetimes, residual couplings These mechanisms can produce non-Markovian error correlations—errors with memory of previous operations that propagate through multi-qubit circuits in systematic, hardware-dependent ways. Supporting Evidence for Correlation Structure Module 0 (highest σ) has lowest overall fidelity → hardware quality correlation Module 2 (second highest σ) has high fidelity elsewhere → not simply systematic gate errors Deviations ~2-3% relative → consistent with known crosstalk magnitudes Topology-dependent: different physical regions show different correlation behavior Why This Matters for Industry Significance for Advanced Quantum Hardware Our observations on IBM's Heron r2 architecture (heavy-hex topology, gate errors ~10⁻³) demonstrate that correlation effects persist even in state-of-the-art hardware. This is not a limitation of early quantum computers—these are fundamental features of multi-qubit system dynamics that require hardware-aware approaches. Impact on Stakeholders Hardware vendors: Topology-aware qubit selection and calibration protocols can identify and mitigate correlation-prone regions QEC researchers: Incorporating hardware-specific correlation structure may improve threshold estimates and code performance Algorithm designers: Runtime characterization enables intelligent qubit allocation and error-aware compilation System architects: Hardware abstraction layers (e.g., Q-HAL) that account for topology-dependent behavior become essential for scaling Reproducibility & Verification Independent Verification All results can be verified using IBM Quantum job ID: d61v0lao8gvs73f1gutg Complete Reproducibility Raw data provided: All 294,912 measurement outcomes Analysis scripts included: Rerun statistical analysis Circuit generation code: Reproduce experiment on any IBM backend Metadata preserved: Complete qubit mappings and configurations Requirements pip install qiskit qiskit-ibm-runtime numpy scipy Data Availability & Licensing Open Access All data is freely available under Creative Commons Attribution 4.0 International (CC BY 4.0) Code License Analysis scripts under MIT License Patent Protection The Y⊗Z stabilizer preparation method using π/4 rotations is protected under U.S. Provisional Patent Application No. 63/952,786. This dataset demonstrates experimental validation but does not disclose enabling technical details. Usage You are free to use, modify, and build upon this dataset for any purpose, including commercial, as long as you provide attribution. Research Context Organization: Quantum-Clarity LLC Platform: QuantaCore™ quantum control system Technology: Q-HAL (Quantum Hardware Abstraction Layer) for topology-aware optimization Website: https://www.quantum-clarity.com/quantum-reliability Contact & Collaboration Principal Investigator: Quantum-Clarity LLCEmail: info@quantum-clarity.com Collaboration Opportunities Theoretical modeling of correlation mechanisms Cross-platform validation (IonQ, Rigetti, trapped ions) Extended studies on larger systems QEC code development incorporating correlation structure Hardware-aware compilation strategies Acknowledgments IBM Quantum for hardware access and QPU credits IBM Quantum team for technical support The quantum computing research community Related Publications Martinis, J., Clarke, J., & Devoret, M. (2025). Quantum behavior in macroscopic superconducting circuits. Nobel Prize in Physics 2025. Quantum-Clarity 116-qubit Y⊗Z demonstration (previous work establishing the measurement architecture) Version History v1.0 (February 5, 2026) - Initial public release Complete experimental dataset from February 4, 2026 6 modules, 294,912 measurements Statistical analysis with 4.86σ discovery Full documentation and reproducibility scripts