Author's Note (August 24, 2026): This exploratory preprint is currently being re-evaluated as part of a broader methodological audit of the subsequent research program. In particular, the structural interpretation of the reported results and its relationship to later abstract transformation models are being reassessed. This notice does not indicate that the numerical results reported in this preprint have been shown to be incorrect; rather, their interpretation and scope are under review. Any necessary corrections or revisions will be documented transparently in a subsequent version. This exploratory preprint examines whether representative quantum noise channels can be interpreted as distinct modes of structural reconfiguration in observable quantum correlation distributions. Using Bell-state-based simulations, the study compares depolarizing noise, phase damping, and amplitude damping across Z, X, and Y measurement bases. The results suggest that noise-channel type and measurement basis jointly determine whether the observed distribution tends toward preservation, uniformization, fixation, or observation-dependent deformation.
Author's Note (August 24, 2026): This exploratory preprint is currently being re-evaluated as part of a broader methodological audit of the subsequent research program. In particular, the structural interpretation of the reported results and its relationship to later abstract transformation models are being reassessed. This notice does not indicate that the numerical results reported in this preprint have been shown to be incorrect; rather, their interpretation and scope are under review. Any necessary corrections or revisions will be documented transparently in a subsequent version. This exploratory preprint examines whether representative quantum noise channels can be interpreted as distinct modes of structural reconfiguration in observable quantum correlation distributions. Using Bell-state-based simulations, the study compares depolarizing noise, phase damping, and amplitude damping across Z, X, and Y measurement bases. The results suggest that noise-channel type and measurement basis jointly determine whether the observed distribution tends toward preservation, uniformization, fixation, or observation-dependent deformation.
This repository accompanies the preprint “Mapping the Limits of Architecture-Sensitive Noise Fingerprints in Quantum States.” The work investigates when and why simple classical measurement statistics obtained from noisy quantum systems retain information about the underlying quantum state architecture, and when such information collapses entirely. Building on earlier results demonstrating the existence of architecture-dependent classical fingerprints for stabilizer states under local noise, this study systematically maps the boundaries and failure modes of that phenomenon. Using exact probability distributions for small-to-moderate system sizes, we introduce controlled departures from stabilizer structure and track the degradation of classical features under dephasing and depolarizing noise. The analysis reveals sharply conditional survival of architecture sensitivity, a consistent feature-dependent collapse ordering, and a strong dependence on measurement basis and perturbation geometry. In particular, regimes of genuine diagnostic blindness are identified, where classical statistics become architecture-indistinguishable even though the underlying quantum states remain highly structured. The archive includes the full manuscript (PDF and LaTeX source), all figures appearing in the paper, the scripts required to reproduce the numerical experiments and figures, and the corresponding data outputs. All results are based on exact numerical evaluation (no sampling, optimisation, tomography, or machine learning). The work is intended as a lightweight, diagnostic limits study, providing practical guidance on when simple classical measurements are informative and when their use is fundamentally unreliable. Together with the companion papers in this series, the repository contributes to a coherent empirical and theoretical programme on the classical observability of quantum structure under noise.Version 1.1 notes.This revision clarifies the collapse criterion used to define architecture indistinguishability, explicitly specifies numerical precision and robustness checks, and adds a qualitative reliability chart summarising when different classical features remain informative. The presentation of noise-model dependence, system-size stability, and perturbation geometry has been sharpened, and the relationship to companion papers in the series has been made explicit. No new phenomena are introduced; the update improves transparency, interpretability, and practical usability of the results.
Author's Note (August 24, 2026): This exploratory preprint is currently being re-evaluated as part of a methodological audit of the transformation framework used in this research program. In particular, I am reassessing whether the reported Bell-type → uniform → anti-type inversion should be interpreted as a distinctive consequence of the previously defined “zero-operation” framework or as behavior arising within a broader class of transformations on probability distributions. The numerical observations, their dependence on the chosen transformation class, and the generality of the structural interpretation are therefore being re-audited. Any necessary corrections, reclassification of claims, or revisions will be documented transparently in a subsequent version. This exploratory preprint develops a minimal distributional transition model in which a Bell-type correlation distribution is continuously transformed into an anti-type correlation distribution through a uniform neutral point. The paper distinguishes terminal uniformization from transitional uniformization and connects this distinction to the zero-operation framework.
We systematically characterize quantum entanglement in all sixteen combinations of two-qubit Bell states across three operational regimes: pure superposition, noiseless mixing, and asymmetric mixing of one noisy and one pure Bell state. For pure superpositions, we calculate the von Neumann entropy and show that entanglement depends critically on the relative phase phi between superposed states. For mixed states, we use concurrence C under three physically motivated decoherence channels. The Depolarizing (DP) and Phase Damping (PD) channels are modeled as global, collective operations on the two-qubit Hilbert space, while Amplitude Damping (AD) is treated as independent local decay on each qubit, reflecting the asymmetric, energy-dissipating nature of spontaneous emission. A central and counterintuitive result is that increasing noise can raise concurrence in specific parameter regimes across all three channels. We further map the boundary between mathematical entanglement (C > 0) and operational quantum non-locality using the Horodecki criterion, finding this boundary to be strongly channel-dependent. Under Phase Damping, the Bell-local entanglement regime vanishes entirely for identical and same-bases mixtures, meaning any surviving entanglement guarantees a CHSH violation. Under Depolarizing noise, a large Bell-local region requires mixing probability r > 1/sqrt(2) to recover non-locality at maximum noise. For Amplitude Damping, certain mixtures exhibit a non-monotonic Horodecki parameter M(T): concurrence decreases monotonically with noise, yet the capacity for CHSH violation is lost at intermediate noise levels and restored at high noise, as maximal damping repurifies the noisy branch. These results provide a unified analytical reference for entanglement and non-locality management across Bell-state combinations and decoherence channels relevant to NISQ architectures.
Quantum resources — coherence, entanglement, nonlocality, and information precision — are not static properties. They are dynamically interconvertible, and their fates under noise channels define the practical boundaries of quantum advantage. This paper synthesizes six recent preprints from the quant-ph and cond-mat.stat-mech arXiv corpus to develop a candidate heuristic framework (not a unified derivation) for understanding how noise-channel geometry governs the conversion, degradation, and preservation of quantum resources across distinct physical platforms. The central thesis, stated as a structural pattern worth investigating rather than a proven theorem, is: **the qualitative behavior of quantum resource dynamics under noise — whether degradation is monotonic, sudden-death-exhibiting, or dimension-dependent — is determined primarily by the geometric structure of the noise channel, not by the magnitude of the resource being converted.** This pattern appears independently across coherence-to-entanglement transduction in qubits [corpus:arxiv:2606.16916], high-dimensional qudit systems [corpus:arxiv:2606.16695], bath-memory-mediated transport precision [corpus:arxiv:2606.17026], entanglement fragility in W-class states [corpus:arxiv:2606.12307], quantum scrambling in scarred billiards [corpus:arxiv:2606.16865], and non-Hermitian grid-state deformation [corpus:arxiv:2606.17036]. The falsification path for the central thesis is concrete: if a systematic survey of noise channels finds that sudden-death thresholds and monotonicity classes are not predictable from channel geometry alone — specifically, if amplitude-damping and phase-damping channels produce qualitatively identical degradation signatures for the same input resource magnitude — the geometric-structure thesis fails. The paper identifies this as a computable test using existing density-matrix simulation tools. Sources span quant-ph (primary, five papers) and cond-mat.stat-mech (one paper, weakly connected via precision transport). The abstract-only reading constraint is acknowledged throughout. --- Authorship: Saluca Agentic AI Research Team (Saluca LLC). AI-drafted from arXiv preprint corpus on the date in the filename. Cited arXiv preprints: 2606.12307, 2606.12700, 2606.16695, 2606.16712, 2606.16865, 2606.16916, 2606.16948, 2606.17026, 2606.17036
Author's Note (August 24, 2026): This exploratory preprint is currently undergoing methodological re-evaluation. The “zero-operation” framework used here as the basis for target-based control is being reassessed, including whether these transformations constitute a distinct operator class or are better understood within a broader class of transformations on probability distributions. Consequently, the interpretation and generality of the reported control results, including their dependence on the chosen candidate transformation set, are under re-audit. This notice does not by itself imply that the numerical results are incorrect; rather, the claims concerning zero-operations as a control framework should be regarded as provisional. Any necessary corrections, reclassification of claims, or revisions will be documented transparently in a subsequent version. This exploratory preprint formulates zero-operation selection as an inverse problem over probability distributions. Starting from a Bell-type four-state distribution, it searches over operation types, redistribution rules, and parameters to identify operations that approach or reach specified target distributions. Basic targets are reached by corresponding simple operations, while the soft-00 target requires a composite rule combining fixation and off-diagonal redistribution. This is the fourth manuscript in a preprint series on zero-operation-based quantum computer theory.