This archive contains the Version 1 public release of the targeted causal-break testing protocol together with the manuscript, supplementary material, registered experimental protocols, QASM circuits, analysis procedures, and documentation associated with the study. The work demonstrates a low-setting experimental methodology for testing engineered history dependence on superconducting quantum hardware while explicitly preserving preregistration records, failed controls, confirmatory replications, calibration experiments, and protocol revisions.
This archive contains the Version 1 public release of the targeted causal-break testing protocol together with the manuscript, supplementary material, registered experimental protocols, QASM circuits, analysis procedures, and documentation associated with the study. The work demonstrates a low-setting experimental methodology for testing engineered history dependence on superconducting quantum hardware while explicitly preserving preregistration records, failed controls, confirmatory replications, calibration experiments, and protocol revisions.
The transition from noisy intermediate-scale quantum devices (error rate ∼10−3 ) to fault-tolerant quantum computation (requiring error rates below 10−4 for viable quantum error correction, and approaching 10−5 for practical fault tolerance) is impeded not by any single hardware shortfall but by the way hardware-layer constraints couple across the quantum computing stack. This review offers a blueprint for engineers designing superconducting quantum processors, organized around a three-stage analytical framework applied to five constraints: qubit coherence, gate fidelity, connectivity, readout errors, and crosstalk. The first stage, per-constraint characterization, shows that each constraint’s most severe failure mode generates correlated errors that violate the independence assumptions underlying quantum error correction. The second stage, pairwise interaction analysis, demonstrates that these constraints form a coupled degradation network in which a weakness in one systematically activates and amplifies failures in others, producing compound failure modes invisible to standard isolated benchmarking. The third stage, stack-wide scaling analysis, shows that improving any single constraint unlocks qualitatively different operational regimes only at discrete threshold crossings, so investment planning must target these transitions rather than incremental gains that yield no regime change. Each constraint’s dominant remaining limitation is then classified as either architecturally fundamental, requiring new device physics, or operationally mitigable through software and control advances. The central finding is that correlated error suppression cannot be fully achieved through local optimization, because the same electromagnetic proximity enabling quantum computation also generates the couplings that produce correlated errors. Achieving fault tolerance therefore requires co-design applied simultaneously rather than sequentially.
Preprint; not peer reviewed. We report a hardware-oriented quantum sampling experiment motivated by Hidden Code Sampling (HCS), while explicitly not claiming an end-to-end implementation of the original HCS PeakVerification–SyndromeVerification protocol. A full-width 60-qubit circuit derived from a sparse trivariate-bicycle CSS construction was embedded without swaps on a 108-qubit superconducting processor and compiled to native RX, RZ, and controlled-Z operations. The base circuit contains 180 logical two-qubit rotations and 360 native controlled-Z gates. Local unitary folding produced stress instances with factors 1, 3, and 5, containing respectively 360, 1080, and 1800 controlled-Z gates. A pilot run was used only to identify and freeze an endian-corrected two-feature local parity witness. The confirmatory dataset consists of three completed QPU executions at folding factors 1, 3, and 5. The final analysis includes only execution records whose frozen QASM identities and authorization hashes match the preregistered confirmatory panel. Each science circuit received 10,000 shots, and each of four calibration patterns received 4,000 shots in both the pre- and post-experiment calibration periods. Simultaneous finite-shot lower confidence bounds combine Clopper–Pearson calibration intervals, a pre/post drift hull, inverse assignment-channel correction, an empirical Bernstein bound, and worst-case optimization over the calibration box. The certified margins are 0.2953, 0.2858, and 0.3148 at folding factors 1, 3, and 5, respectively. All three folds pass, and the maximum calibration-parameter drift is 0.0065. Within a preregistered classical attack suite, the conditional operation-count gap is γ = 6.555, above the registered target of 6.0. This result is an operation-count certificate relative to the registered classical attacks. It is not a wall-clock quantum advantage claim, not a full-distribution total-variation certificate, and not an experimental implementation of the exact HCS protocol. Quantum circuits were submitted to the Rigetti Cepheus-1-108Q superconducting processor through the Open Quantum platform, operated by Quantum Rings, using the Open Quantum Python SDK. This acknowledgment does not imply endorsement by Quantum Rings of the findings, interpretations, or conclusions reported in this work. The deposited files include the preprint, LaTeX sources, sanitized confirmatory QASM files, aggregate certificate metrics, integrity manifests, and publication-compliance documentation. Authentication credentials, account metadata, organization identifiers, provider job identifiers, private provider records, and the private audit archive are excluded.
Overview This Zenodo repository contains the research artifacts associated with the manuscript: “Christoffel-Symbol-Encoded Geodesics on Quantum Hardware: Toward an Experimental Platform for Curvature-Quantum Interplay” The repository accompanies the APS journal submission and contains the submission manuscript, computational notebook, experimental run notes, quantum circuit files, an interactive HTML module, and handwritten theoretical and conceptual notes developed during the research. These materials are provided to support transparency, reproducibility, verification, and further exploration of the proposed framework for encoding Christoffel-symbol information into quantum circuits and studying geodesic dynamics on quantum hardware. Note: This archive contains the APS submission draft and research-development artifacts. Some files are working notes, intermediate materials, or experimental documentation and should not be interpreted as part of the final published version of the manuscript. Repository Contents 1. APS Submission Draft The Submission Draft_Final folder contains the manuscript and supporting notes associated with the APS journal submission. The primary manuscript is: ChristoffelSymbolEncoding_Final_submission_draft.pdf This PDF contains the manuscript prepared for submission to the APS journal. The folder also contains supporting documentation associated with the reported experimental results. 2. Computational Notebook The repository contains: Geodesic.ipynb This Jupyter Notebook contains computational material associated with the proposed framework and the analysis of the experimental results. The notebook includes calculations and analysis used during the development and evaluation of the Christoffel-symbol-encoded geodesic circuits. The notebook represents a research and submission working artifact and is included to document the computational workflow and analysis. The notebook can be opened using: Jupyter Notebook JupyterLab Google Colab Other compatible Jupyter environments 3. Interactive HTML Module The HTML_file folder contains an interactive HTML implementation of the setup described in the manuscript. The HTML module is designed so that users can download it and interact with or modify the setup locally without requiring an account or login. Using the HTML module Download the HTML_file folder from this repository. Open the included index.html file in a modern web browser. Explore the interactive setup. Modify the available parameters/settings directly in the interactive module. Use the modified configuration to explore how changes affect the corresponding setup. No login or external account is required to use or modify the locally downloaded HTML module. The HTML artifact is provided as an accessible, interactive research tool intended to make the experimental setup easier to inspect and explore. Note: The HTML module is a local interactive artifact. Its behavior may depend on the browser and the capabilities implemented in the provided HTML/JavaScript files. 4. QASM Quantum Circuits The repository contains the following OpenQASM circuit files: geodesic_.qasm geodesic_schwarzschild.qasm geodesic-flat.qasm These files contain the quantum circuits used to implement and investigate the proposed geodesic encoding. The QASM files can be imported into compatible IBM Quantum/Qiskit environments, including the IBM Quantum Composer where supported, for inspection and execution. Researchers can use these files to: Inspect the circuit construction. Examine the gate-level implementation. Reproduce the circuit setup. Modify the circuits for additional experiments. Execute the circuits on compatible quantum simulators. Execute the circuits on available IBM quantum hardware. Hardware execution considerations The circuits were designed for execution on real quantum hardware. Results from subsequent executions may not be numerically identical to the results reported in the manuscript. This is expected for experiments performed on noisy quantum hardware because measured results can depend on: Hardware calibration Qubit coherence and connectivity Gate and readout errors Device noise Compilation/transpilation Backend configuration Execution date and time Number of measurement shots Therefore, the QASM files are intended to provide the reproducible circuit and experimental procedure, while acknowledging the time-dependent nature of physical quantum hardware. 5. Handwritten Theoretical and Conceptual Notes The Handwritten Theory Notes folder contains handwritten material documenting the conceptual and theoretical development of the research. The materials include: Initial theoretical ideas Derivations and calculations Circuit-design sketches Christoffel-symbol encoding concepts Spacetime and geodesic illustrations Experimental setup notes Run-specific observations Additional conceptual development related to the curvature–quantum interplay They are included to document the development of the underlying research idea and provide additional context for the methodology presented in the manuscript. These materials should be considered research-development notes rather than polished manuscript material. Experimental Run Documentation The repository includes documentation of the experimental runs used in developing and evaluating the proposed framework. The experimental artifacts include: Quantum circuit files in QASM format Computational analysis in the Jupyter notebook Run-specific written observations Handwritten experimental notes Interactive visualization and exploration of the proposed setup The run notes are included to provide additional context concerning the observed behavior of the circuits on quantum hardware. Because the experiments involve real quantum hardware, variations between executions are expected. The purpose of providing the circuit files and associated documentation is therefore to enable researchers to reproduce the experimental setup, circuit construction, and methodology, rather than to imply that every hardware execution will produce exactly identical measurement statistics. Reproducibility The artifacts in this repository are intended to facilitate independent examination and reproduction of the work. The principal reproducibility components are: Artifact Purpose Geodesic.ipynb Computational calculations and analysis .qasm files Gate-level quantum circuit implementations index.html Interactive and locally modifiable representation of the setup Submission PDF Scientific description of the proposed methodology and experiments Results notes Documentation of experimental observations Handwritten notes Conceptual and theoretical development of the approach For quantum-hardware experiments, reproducibility should be understood in the context of noisy and time-varying physical hardware. Re-execution of the same circuit can result in different measurement statistics even when the circuit parameters and experimental protocol are unchanged. Accordingly, the repository provides the information necessary to reproduce the circuit construction and experimental methodology, while hardware-dependent numerical variations should be expected. File Organization Christoffel_Symbol_Encoding_Submission/ │ ├── Geodesic.ipynb │ ├── geodesic_.qasm ├── geodesic_schwarzschild.qasm ├── geodesic-flat.qasm │ ├── HTML_file/ │ └── index.html │ ├── Handwritten Theory Notes/ │ ├── Run1.HEIC │ ├── Run2.HEIC │ ├── Page1.HEIC │ ├── Page2.HEIC │ ├── Page3.HEIC │ ├── Fig1a) Chris_Symbol_encoding.drawio.png │ └── fig2_spacetime_geodesic.png │ └── Submission Draft_Final/ ├── ChristoffelSymbolEncoding_Final_submission_draft.pdf └── Copy of Notes-on-results.docx Authors Dr. Hemanth Gudaparthi, Dr. Yacine Merdjemak The handwritten theoretical notes, conceptual sketches, and research-development materials included in this archive were prepared by Dr. Hemanth Gudaparthi during the development of the work. He also implemented the quantum circuit, applied the error-mitigation protocol, analyzed the measurement results, and wrote the manuscript Dr. Yacine Merdjemak has provided input on the reasoning, the approach, and the quantum circuit implementation, reviewed the manuscript, and commented on the theoretical framework and result interpretation. Associated Manuscript Christoffel-Symbol-Encoded Geodesics on Quantum Hardware: Toward an Experimental Platform for Curvature-Quantum Interplay The manuscript included in this repository represents the APS journal submission draft associated with these research artifacts. Please refer to the final published version of the manuscript for the authoritative bibliographic record once publication is complete. Citation If you use the computational notebooks, QASM circuits, interactive HTML module, experimental notes, handwritten notes, or other materials from this repository, please cite the associated manuscript: Hemanth Gudaparthi, Yacine Merdjemak, Christoffel-Symbol-Encoded Geodesics on Quantum Hardware: Toward an Experimental Platform for Curvature-Quantum Interplay, 2026, https://doi.org/10.5281/zenodo.22162434 The citation should be updated to the final journal bibliographic information when the manuscript is published. Use of the Materials These materials are provided for research, educational, verification, and scholarly exploration. Users are encouraged to: Examine and modify the locally available HTML module. Inspect and modify the QASM circuits. Re-run the computational notebook. Reproduce the experimental circuit construction. Extend the framework to additional parameters, circuit depths, geometries, or quantum hardware platforms. Please cite the associated manuscript
A Hardware-Ready Route to an Unprogrammed Record-to-Clock Test Dynamic circuits can already write mid-circuit outcomes, condition later operations, and erase coherent markers. This preregistered extension removes the control path that would make the result trivial: a physical record is written and retained, while an independently calibrated timing mode is read without allowing the record label to control its preparation, pulses, scheduler, or measurement basis. The completed-record camera is ηT=Fjoint2=F2(ρRMEmeas,ρRMEideal), and the registered timing-access frontier is UT⋆=∣(1−ηT)Υtr+bN∣. The canonical branch, reachable only after every physical and statistical certificate passes, is UT⋆=1−Fjoint2. The causal firewall is explicit: R↛C,M↛C,Emcm↛C. Thirty activation gates precede any theory verdict. The starting external dynamic-circuit archive reproduces in 161/161 checks at maximum absolute discrepancy 1.11×10−16, but remains standard-quantum qualification only because it lacks the registered independent timing channel. All sixteen deliberate gate mutations force INELIGIBLE_NO_THEORY_VERDICT. The dynamic-circuit ladder counts named laboratory record carriers. It is not the A3 twenty-four-front White-Void family and has no verdict on A2 support, A3 cosmological source volume, or a universal 23 entropy coefficient. Immutable protocol seal: 30324c4b790ac2e7860910535df8a96a2975dd6d6e4e550ba8a2152af18f1968 Verification and status: 28/28 original protocol, classifier, mutation, and power checks passed. 9/9 Version 1.1 target-preservation checks passed. PUBLIC-PREREGISTRATION-SEALED NO-OBSERVATION-YET NO-TARGET-CHANGE-IN-V1.1 Version: 1.1 Concept DOI: 10.5281/zenodo.21904993 Author: Ali Attar Website: quantumtraction.org Reader anchors: Parent blind-test preregistration Source framework Observation as Access QTT Main Book External dynamic-circuit starting platform The Equation on the Tombstone