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 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
Quantum Information Geometry (QIG) proposes a novel mathematical framework for describing quantum states, asserting that quantum information inherently encodes geometric constraints within the system. This research explores this framework, outlining a method for representing quantum states as geometric objects and establishing a dynamic evolution governed by these constraints. The core claim is that this approach offers a fundamental shift in understanding quantum mechanics, moving beyond classical probability and revealing a deeper geometric relationship between states. This paper provides a detailed explanation of the QIG approach, its mathematical foundations, and preliminary results demonstrating the potential for geometric constraint influence within quantum systems. We will also discuss the implications for quantum information theory and future research directions.
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
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 paper serves as the practical culmination and experimental validation of the comprehensive, multi-part mathematical framework developed across preceding works to diagnose, map, and systematically circumvent geometric bottlenecks in quantum control landscapes. While theoretical foundations established pure-state Kähler manifolds, mixed-state Uhlmann purification fiber bundles, and analytical control immersion criteria, this work (Paper 5) translates those unified proofs into immediately deployable engineering protocols for Noisy Intermediate-Scale Quantum (NISQ) architectures. By assessing three canonical testbed problems—the Variational Quantum Eigensolver (VQE) targeting the molecular ground state of Hydrogen ( H2), the Quantum Approximate Optimization Algorithm (QAOA) solving combinatorial MaxCut graph instances, and time-dependent non-adiabatic wavefunction steering routines—we demonstrate that abstract information-geometric markers exhibit definitive predictive power over real-world algorithmic execution. Through high-precision numerical simulations and calibrated hardware-noise emulations incorporating generalized Lindbladian dissipation channels, we validate the physical manifestation of coordinate caustics, chart exponential metric condition index spikes, and verify the structural viability of singularity-aware quantum compilation (SAC) engines. Our results show that metric-weighted trajectories yield up to a 2.65× convergence velocity acceleration over traditional Euclidean gradient pathways while protecting state purity under realistic decoherence constraints, bridging the gap between abstract quantum information geometry and robust, near-term quantum processing.
Quantum information synchronization is a critical challenge in quantum computing, requiring precise control and management of entangled states across multiple qubits. Current approaches often struggle with the inherent complexity and limitations of standard error correction, hindering the development of truly powerful quantum algorithms. This research proposes a novel method for synchronizing quantum information using an entanglement-driven constraint propagation feedback loop, designed to surpass current error correction techniques. We introduce a dynamic constraint system that actively adjusts the quantum state based on entanglement patterns, thereby enhancing fidelity and efficiency in complex quantum computations. This approach offers a fundamentally new pathway to maintain coherence and address the limitations of existing methods.
Building upon the framework of Relativity of Information and Geometric Principles, this study presents empirical hardware-level execution results investigating quantum informational geometry and temporal boundary constraints. Utilizing a multi-qubit observer circuit deployed on live IBM quantum hardware (ibm_fez), we implement periodic Floquet driving loops and Two-State Vector Formalism (TSVF) post-selection filtering. By examining the resulting multi-state distributions and constrained sub-ensembles, we explore how retrocausally-coupled boundary conditions can be leveraged to probe processes outside standard present-moment observation horizons and evaluate coherence extension on physical transmon architectures.