Abstract: This dataset documents the output of a 5-qubit entanglement circuit executed on the IBM ibm_marrakesh quantum processing unit. The experiment aimed to characterize the stability of state-space distributions under specific gate-constrained logic. Utilizing 4,096 shots, the results demonstrate a statistically significant departure from a uniform random distribution, characterized by high-frequency occupancy in specific computational bases (e.g., \bm{|00000\rangle}, \bm{|10001\rangle}, \bm{|10101\rangle}). Statistical validation via Chi-Square Goodness-of-Fit test (\bm{\chi^2 = 9364.89, p \approx 0.0}) rejects the null hypothesis of stochastic noise, indicating the presence of non-random, stable coherence manifolds within the entanglement structure. This data provides a baseline for investigating the relationship between gate-level constraints and localized decoherence patterns. Methodology: Backend: IBM ibm_marrakesh Configuration: 5-qubit entanglement circuit with observer-constrained CRX gates. Sample Size: 4,096 shots per execution. Analysis: Chi-Square analysis comparing observed state frequency against uniform expected distribution. Supplementary Materials: Included files consist of the Qiskit execution scripts (2run_exp.py), the raw count output from the IBM ibm_marrakesh backend (entanglement_results.txt), and the statistical validation script (analyze_stats.py) used for the Chi-Square Goodness-of-Fit analysis.
Abstract: This dataset documents the output of a 5-qubit entanglement circuit executed on the IBM ibm_marrakesh quantum processing unit. The experiment aimed to characterize the stability of state-space distributions under specific gate-constrained logic. Utilizing 4,096 shots, the results demonstrate a statistically significant departure from a uniform random distribution, characterized by high-frequency occupancy in specific computational bases (e.g., \bm{|00000\rangle}, \bm{|10001\rangle}, \bm{|10101\rangle}). Statistical validation via Chi-Square Goodness-of-Fit test (\bm{\chi^2 = 9364.89, p \approx 0.0}) rejects the null hypothesis of stochastic noise, indicating the presence of non-random, stable coherence manifolds within the entanglement structure. This data provides a baseline for investigating the relationship between gate-level constraints and localized decoherence patterns. Methodology: Backend: IBM ibm_marrakesh Configuration: 5-qubit entanglement circuit with observer-constrained CRX gates. Sample Size: 4,096 shots per execution. Analysis: Chi-Square analysis comparing observed state frequency against uniform expected distribution. Supplementary Materials: Included files consist of the Qiskit execution scripts (2run_exp.py), the raw count output from the IBM ibm_marrakesh backend (entanglement_results.txt), and the statistical validation script (analyze_stats.py) used for the Chi-Square Goodness-of-Fit analysis.
This submission contains the research methodology, experimental blueprint, and data retrieval protocols for the "Empirical Sensitivity Analysis of Observer-Constrained Coherence in Qubit Manifolds. 2circuit_logic.py.txt: Contains the architectural circuit definition, including the initialization of the 5-qubit circuit and the implementation of the observer threshold (crx) gates. 2run_exp.py.txt: Contains the execution script used to interface with the ibm_marrakesh backend, transpilation parameters, and job submission logic. 2pull_data.py.txt: Contains the protocol for retrieving experimental results via QiskitRuntimeService using the unique Job ID associated with this trial.
This record contains the experimental data and analytical scripts supporting the observation of a reproducible coherence anomaly, termed the "O'Reilly Effect," identified during the investigation of Zeno-Floquet dynamics on IBM quantum hardware. Experimental Summary: The study utilized a 5-qubit circuit architecture to probe the interaction between the Quantum Zeno Effect and Floquet time crystal dynamics. Control: A baseline control circuit was executed to verify hardware health and establish a uniform probability distribution. Experimental: The observer-constrained framework produced a statistically significant, non-random "dip" in coherence at Zeno period 3. Statistical Rigor: The observed anomaly exhibits a Chi-Square statistic (\bm{\chi^2}) of 9364.89 (32 degrees of freedom), with a p-value < 0.0001, effectively rejecting the null hypothesis of stochastic hardware noise. Contents: 1 control_results.json: Baseline data from ibm_marrakesh. 2 experiment_results.json: Primary data demonstrating the O'Reilly Effect. 3 analyze_stats.py: Statistical analysis script used for \bm{\chi^2} quantification. Author: Colin O’Reilly Date: May 31, 2026
This research presents a two-part empirical investigation into the intersection of quantum information geometry and observer-constrained coherence. By utilizing the ibm_marrakesh quantum processor, this study examines the behavior of entangled states under varying measurement densities. The first phase establishes a baseline for coherence interaction within our framework. The second phase introduces an "Observer Constraint" through synchronized identity gate rotations, designed to probe the stability of the \bm{|10\rangle} fixed point against intentional state manipulation. Methodology The experiments were conducted using the Qiskit framework on IBM Quantum hardware. Raw data output includes JSON-formatted count results from baseline and constrained execution phases. This dataset is provided to support the independent verification of findings regarding the "O’Reilly Effect" and the broader goal of active coherence stabilization. Keywords
This work evaluates Constraint-Level QUBO (CL-QUBO) circuit execution on IBM Quantum hardware for 34 reactor-scale fault tree subtrees spanning 5–8 basic events, selected from the 776-member quantum-feasible candidate pool established in Paper 9 (Peters, 2026). Circuits were constructed using the CL-QUBO encoding and QAOA Alternating Operator Ansatz at depth p = 1, transpiled to both ibm_torino (133 qubits) and ibm_marrakesh (156 qubits), and executed under three IBM Runtime Sampler configurations (RL0, RL1, RL2) with identical bound parameters (β = 0.2, γ = 0.2) across all resilience levels. A total of six hardware jobs consumed 476 seconds (7.93 minutes) of quantum runtime across 8,192 shots per circuit. The results demonstrate that at this circuit scale, 10–16 logical qubits transpiling to 78–150 two-qubit gates at depths of 165–338, hardware output distributions are overwhelmingly noise-dominated by standard distributional metrics. Neither RL1 nor RL2 produces improvement; RL1 actively degrades output quality relative to RL0 on both backends. However, direct comparison of hardware top-probability outcomes against SCRAM-validated prime implicants from Paper 9 reveals substantial above-random minimal cut set (MCS) enrichment relative to the uniform-random baseline in the n = 8 groups (6.2× and 3.8× expected random rate in the top-200 outcomes), demonstrating that CL-QUBO circuits produce detectable MCS-correlated structure even in distributions that appear noise-dominated by aggregate metrics. These findings characterize the current observed performance ceiling for this CL-QUBO configuration on the tested IBM backends and provide both distributional and MCS-correctness baselines against which future hardware improvements can be measured.
Eight verified quantum computing jobs executed on IBM Quantum hardware (ibm_fez Heron R2, 156 qubits; ibm_torino Heron R1, 133 qubits) between January 27 and March 15, 2026. User ID: IBMid-692001DJRD. Experiments include: 1. Bell State Entanglement — 96.3% fidelity on ibm_fez Heron R2 (Concurrence C = 0.926, Tangle T = 0.858, 1,000 shots). Cross-platform benchmark: Heron R2 vs Heron R1 (+8.3 pp fidelity advantage, noise ratio 2.43×). 2. Reproducibility Test — Two independent runs of identical circuit (χ² = 2.70, p = 0.44, df = 3). H₀ not rejected: statistically indistinguishable results at 95% confidence. 3. BB84 Quantum Key Distribution — Full Alice/Eve/Bob protocol implementation. Alice baseline error 0.60% → Bob QBER 49.0% under eavesdropping (82× degradation). Experimental demonstration of the quantum no-cloning theorem. Control group design isolates eavesdropper signal from hardware noise baseline. 4. Variational Quantum Circuit (VQC) — 2-qubit circuit, 10 trained parameters with tied weights (θ₃ = θ₄), 8 CZ gates in 4 entangling layers. 4-qubit ansatz: Shannon entropy 3.885/4.000 bits (97.1%), ground-state bias confirmed (χ² = 300.94, p ≈ 0). 5. Quantum Random Number Generation (QRNG) — 8-bit outputs, 10/10 unique values per shot (range 16–254). Total: 39,010 quantum measurements across 8 jobs and 10 circuits. QPU time: 4.8 seconds. Job completion rate: 100%. All results decoded from raw IBM SamplerV2 BitArray binary archives (zlib + base64 + NumPy .npy pipeline). No simulations. Statistical validation applied throughout (Wilson 95% CIs, chi-squared tests). Stack: Qiskit Runtime SamplerV2 · QPY · OpenQASM 2.0 · Python · NumPy · SciPy Repository: https://github.com/dinohatibovicWhitepaper: https://dinohatibovic.github.io (Doc QAI-WP-2026-01-28-V4)
This technical note documents the numerical stability of a two-peak (Z-level) interference pattern observed in a fixed 29-qubit quantum circuit. The analysis was performed using the Qiskit AerSimulator backend under controlled conditions, including variations in shot count and phase-parameter offsets. The results demonstrate that the observed interference structure is reproducible, robust against sampling fluctuations, and not dependent on fine-tuned parameter choices. This document does not present a theoretical proof or physical interpretation. Its sole purpose is to provide an empirical numerical reference for the stability and reproducibility of the observed interference pattern, serving as a supporting record for related theoretical and conceptual works by the author. In version v3, the numerical analysis is extended beyond 63 qubits up to 79 qubits by employing reduced statistical descriptors rather than full state-space representations. This extension demonstrates that the observed Z-level interference stability persists under scalable statistical evaluation, without requiring exponentially growing state-vector simulations. Additional clarification The reported “Z-level progress” refers to an internal, relative coverage metric within the author’s numerical stability framework. It is not a physical completeness measure, nor a claim of global optimality. Earlier high-percentage stability values (e.g. 95–98%) correspond to local robustness indicators such as sampling consistency, seed invariance, and phase-noise tolerance within fixed parameter windows. The lower percentage reported here reflects a stricter, global aggregation across multiple independent stability dimensions. This distinction is intentional and avoids conflating local robustness with global domain coverage. This work reports a numerical stability certificate for X–Z basis statistical divergence measures obtained in controlled simulations. A multiscale grid and zoom analysis identifies a non-trivial stable phase-offset interval (pj ∈ [0.038, 0.052]) in which total variation distance, Shannon entropy, and directed Kullback–Leibler divergences remain reproducible under changes in sampling depth, random seed, and numerical resolution. A persistent directional asymmetry between KL_XZ and KL_ZX is numerically observed across all tested scales. This document reports numerical results only and does not claim physical realization, theoretical proof, or universal validity. Interpretational note: The absence of a direct Lorentz-covariant or gauge-field embedding should not be interpreted as a deficiency of the numerical results, but as a limitation of applying classical spacetime questions to an emergent, resonance-based stability structure. The reported Z-level behavior constrains the space of viable physical interpretations rather than completing one.