TSTT Quantum Experiments V3.2: Structural Coherence and Nonlocality in 3-Qubit GHZ States (Corrected)

⚠️ VERSION 3.2 - CRITICAL CORRECTION This version corrects an arithmetic error found in V3.1. The correct structural coherence value is S̄ = 0.913 ± 0.003. Correction Details: V3.1 (incorrect): S̄ = 0.935 ± 0.002 V3.2 (correct): S̄ = 0.913 ± 0.003 Calculation: (⟨XXX⟩ + ⟨ZZI⟩ + ⟨IZZ⟩) / 3 = (0.902 + 0.914 + 0.924) / 3 = 0.913 Impact: Improves agreement with TSTT universal constant (S̄_c = 0.908) from 13.5σ to 1.7σ ──────────────────────────────────── Dataset Overview This dataset contains experimental quantum measurements from two independent runs on IBM Quantum's ibm_torino device (127-qubit Eagle r3 processor), demonstrating structural coherence and quantum nonlocality in 3-qubit Greenberger-Horne-Zeilinger (GHZ) states. The experiments provide evidence for universal coherence principles across quantum-classical transitions, as predicted by Theological-Structural Transposition Theory (TSTT). ──────────────────────────────────── Experiment 1: Structural Coherence Measurement (October 10, 2025) Job ID: d3kfathfk6qs73emfrb0 Execution Date: 2025-10-10 at 15:42 UTC Backend: IBM Quantum ibm_torino (127-qubit Eagle r3 processor) State Prepared: 3-qubit GHZ state |GHZ⟩ = (|000⟩ + |111⟩)/√2 Measured Results (CORRECTED): Structural Coherence: S̄ = 0.913 ± 0.003 Total Shots: 150,000 measurement outcomes (30,000 per basis) Measurement Bases: XXX, ZZI, IZZ (stabilizer observables) Stabilizer Expectation Values: ⟨XXX⟩ = +0.902 ± 0.003 ⟨ZZI⟩ = +0.914 ± 0.003 ⟨IZZ⟩ = +0.924 ± 0.002 Error Mitigation: Dynamical decoupling: DD sequence applied during idle periods Readout error mitigation: Confusion matrix correction Transpilation: Optimization level 3 with hardware-aware routing Statistical Validation: Null hypothesis (S̄ = 0): Rejected at 304σ significance TSTT prediction (S̄_c = 0.908): Consistent within 1.7σ State fidelity: 91.3% ──────────────────────────────────── Experiment 2: Mermin Inequality Violation (October 27, 2025) Job ID: d3vvn8460rgc73adkpug Execution Date: 2025-10-27 at 08:15 UTC Backend: IBM Quantum ibm_torino (127-qubit Eagle r3 processor) Mermin Observable Results: Mermin Observable: M = 3.527 ± 0.022 Statistical Significance: 69.1σ violation of classical bound Classical Limit: Mc = 2.000 (CHSH bound) Maximum Quantum: M_max = 4.000 (Tsirelson bound) Achievement Rate: 88.2% of quantum bound Measurement Details: Total Shots: 32,768 measurement outcomes (8,192 per basis) Measurement Bases: XXX, XYY, YXY, YYX (Mermin observables) ──────────────────────────────────── Theoretical Significance The corrected structural coherence value S̄ = 0.913 validates TSTT's prediction of a universal structural coherence constant (S̄_c = 0.908 ± 0.001) connecting quantum entanglement to galactic and cosmological scales. Key findings: Cross-Scale Correspondence:The quantum value S̄ = 0.913 agrees with predicted galactic coherence (NGC 1560: ~0.91) and cosmological observations (DES LSS: ~0.91 ± 0.02) across 26 orders of magnitude in spatial scale. Universal Constant: The 1.7σ deviation from S̄_c suggests "quantum breathing" around the universal value, consistent with thermal fluctuations in the structural field. Formal Causation: Structural coherence quantifies the preservation of Aristotelian "formal cause" in quantum systems, providing a measurable link between ancient metaphysics and modern physics. ──────────────────────────────────── Repository Contents Core Data Files: ibm_torino_ghz3_stabilizer_raw.csv - Raw measurement outcomes (10,000 shots) ibm_torino_analysis_results.json - Processed results with uncertainties Analysis Code: ibm_torino_analysis.py - Complete Python analysis pipeline Includes: Stabilizer reconstruction, bootstrap uncertainty, visualization Documentation: README.md - Comprehensive overview and methodology Temporal_Signature_v3.2.md - Temporal analysis and cross-scale predictions Theory_Code_Isomorphism.md - Mathematical proof of theory-code correspondence CHANGELOG.md - Complete version history with correction details Figures (300 DPI PNG): figures/stabilizer_measurements.png - Bar chart of stabilizer expectation values figures/ghz_probability_distribution.png - Measurement outcome histogram figures/cross_scale_coherence.png - Quantum-galactic-cosmic comparison Metadata: LICENSE.txt - Creative Commons Attribution 4.0 International CITATION.bib - BibTeX citation information.zenodo.json - Machine-readable metadata ──────────────────────────────────── Version History V1.0 (2025-11-02): Initial Zenodo deposit (deprecated due to 5-qubit mislabeling) V2.0 (2025-11-03): Corrected to 3-qubit analysis (DOI: 10.5281/zenodo.17465084) V3.0 (2025-11-04): Added theory-code isomorphism (contained arithmetic error) V3.1 (2025-11-06): Integrated cosmological correspondence (DOI: 10.5281/zenodo.17541817, error propagated) V3.2 (2025-11-12): CORRECTED structural coherence to S̄ = 0.913 ± 0.003 (this version) ──────────────────────────────────── Citation If you use this data, please cite: Takagi, T. (2025). TSTT Quantum Experiments V3.2: Structural Coherence and Nonlocality in 3-Qubit GHZ States (Corrected). Zenodo. https://doi.org/[TO BE ASSIGNED] ──────────────────────────────────── Contact Takayuki TakagiIndependent ResearcherHigashimatsuyama, Saitama, JapanEmail: [e-mail] ──────────────────────────────────── Acknowledgments IBM Quantum: Hardware access via IBM Quantum Network Qiskit Development Team: Open-source quantum computing framework Zenodo: Open science data repository infrastructure ──────────────────────────────────── Keywords: quantum entanglement, GHZ state, structural coherence, IBM Quantum, stabilizer operators, TSTT, cross-scale correspondence, quantum nonlocality, Mermin inequality, formal causation, quantum information theory