DOI: 10.5281/zenodo.17589109
title: TSTT Quantum Experiments V3.2: Structural Coherence and Nonlocality in 3-Qubit GHZ States (Corrected)

description: ⚠️ 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


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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).

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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%


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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)


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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.


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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


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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)


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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]

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Contact

Takayuki TakagiIndependent ResearcherHigashimatsuyama, Saitama, JapanEmail: lemissio@gmail.com

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Acknowledgments



IBM Quantum: Hardware access via IBM Quantum Network

Qiskit Development Team: Open-source quantum computing framework

Zenodo: Open science data repository infrastructure


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Keywords: quantum entanglement, GHZ state, structural coherence, IBM Quantum, stabilizer operators, TSTT, cross-scale correspondence, quantum nonlocality, Mermin inequality, formal causation, quantum information theory