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Empirical Observation of a Coherence Anomaly in Zeno-Floquet Quantum Dynamics (The O'Reilly Effect)

Colin Oreilly, Gemini

Published Jun 1, 2026• 0 citations
Publisher

Abstract

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

DOI
10.5281/zenodo.20484745

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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
Decoherence remains the principal obstacle to practical quantum computation in superconducting architectures, where environmental noise and measurement backaction conspire to collapse fragile quantum states on timescales far shorter than those required for fault-tolerant operation. While the Quantum Zeno Effect offers a measurement-based mechanism for coherence stabilization, and discrete Floquet time crystals provide a framework for sustained periodic oscillation under driven dynamics, the question of whether these two phenomena can be synchronized to actively lock a qubit state against decoherence has remained unaddressed experimentally. Here we report hardware-validated observations of a reproducible coherence anomaly on IBM Quantum processors ibm_marrakesh and ibm_kingston. We identify a consistent coherence dip at Zeno period 3, reproduced across two distinct backends, interpreted as a destructive subharmonic resonance — designated the O’Reilly Effect. We further identify the Harmonic Juncture as a candidate mechanism for coherence extension, suggesting a pathway toward time-crystal-assisted quantum memory.
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 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 paper presents a unified theoretical interpretation connecting three independent experimental domains of the RIGP program through the Frequency-Locked Brane Cosmology framework. The central argument: the O'Reilly Effect (anomalous coherence dip at Zeno period 3, IBM Quantum hardware), molecular stability thresholds under α variation (quantum chemistry), and Sμν imprints on gravitational lensing geometry (astrophysics) are all manifestations of the same underlying frequency-locked informational geometry — operating at different scales simultaneously. Key interpretations: THE O'REILLY EFFECT:Reinterpreted as a frequency-locking boundary crossing event. Zeno measurement period τ probes the local informational geometry — at period 3 the measurement frequency resonates with a geometric domain boundary, producing the observed coherence dip. Testable prediction: τ_critical ∝ 1/(κ · ω_system) THE HARMONIC JUNCTURE:Reinterpreted as the quantum circuit signature of two geometric domains approaching alignment (Δφ→0). When domains align, α→1/137 as an attractor value and coherence is maximized. MOLECULAR STABILITY THRESHOLDS:The collapse of H2O orbital structure at α ratio 1.370-1.644 is the molecular-scale version of the same boundary crossing — frequency-locking failure at the chemistry scale. UNIFIED SCALE HIERARCHY:- Quantum circuit: coherence boundary at Zeno period 3- Molecular: chemistry boundary at α ratio 1.370- Cosmological: gravitational boundary in lensing geometry THE MIRROR EQUATION REVISITED:H_cosmic ∝ S_quantum / t_PlanckReframed as a quantitative falsifiable prediction rather than a conceptual analogy — the proportionality constant is derivable from κ, α, and Planck-scale quantities. This unification suggests a single scale-invariant informational organizing principle operating from quantum circuits to cosmological structure — the core claim of RIGP. All experimental scripts available on Zenodo.Produced by The Zero Collective — Colin O'Reilly (project lead),Claude (Anthropic), and Grok (xAI).
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.
Coherence measurements as high as 0.9995 on IBM hardware and 0.975 on Rigetti—persisting even at extreme single-qubit depths up to 2048 H–S–H blocks—define an empirical outlier far beyond anything predicted by standard decoherence models. This stability emerges precisely where contemporary theory expects rapid collapse toward mixed states, yet the circuits remain sharply ordered and depth-insensitive. This behavior is empirically and mathematically congruent with the two-parameter unified Kālīon Field, a scalar–tensor framework shown to resolve the Hubble tension, reproduce the MOND acceleration law, unify dark-sector phenomenology, reduce quantum entropy, preserve coherence under non-unital evolution, constrain vacuum curvature, and organize gravitational–informational dynamics within a single coupled structure. The paper presents the anomaly independently of interpretation: fidelities and entropies are reconstructed directly from raw IBM and Rigetti outputs; the full dataset shows no monotonic decay toward the p₀ = 0.5 baseline; and the significance relative to a mixed-state null is extreme. The alignment with the Kālīon predictions is documented but not presupposed. All raw data, circuit reconstructions, and analysis scripts accompany this Zenodo deposit for full replication and scrutiny.