This repository contains the source files for the paper: Irreversibility and Ordering in Classical Observability of Quantum Structure The paper develops a formal framework explaining when and why classical statistics extracted from noisy quantum systems retain architecture-dependent information, and when they inevitably lose it. Building on a trilogy of earlier empirical and operational studies, the work introduces the diagnostic pipeline as a fundamental object of analysis: a fixed composition of a noise channel, a measurement choice, and a deterministic classical feature map. Such pipelines are shown to form a preorder under information-degrading transformations, induced by standard monotonicity principles. Within this framework, several phenomena observed empirically are shown to be structural necessities rather than numerical accidents: Feature-dependent collapse arises from deterministic feature post-processing below the identity (full-distribution) pipeline. Basis-dependent diagnostic blindness corresponds to incomparability between pipelines using different fixed measurement bases. Irreversible loss of distinguishability follows from genuine noise degradation and cannot be undone by downstream measurement or feature choices. The paper proves general monotonicity results, establishes generic incomparability of measurement bases, and derives falsifiable predictions linking noise–basis alignment to collapse thresholds for population-encoded distinctions. Minimal empirical consistency checks against the companion trilogy datasets are provided. The framework yields practical design principles for lightweight diagnostics in NISQ-era experiments, clarifying fundamental limits on classical access to quantum structure under realistic constraints. Contents Irreversibility_and_Ordering_in_Classical_Observability_of_Quantum_Structure.pdfFinal compiled manuscript. Irreversibility_and_Ordering_in_Classical_Observability_of_Quantum_Structure.texLaTeX source (self-contained; bibliography and figures embedded). Relation to Other Work This paper provides the formal, structural foundation for a companion trilogy on architecture-sensitive classical fingerprints under noise, including: Feature-dependent collapse under fixed pipelines Basis-dependent diagnostic blindness Selective transcription as an operational principle The present work unifies and explains these results within a single information-theoretic preorder framework. Status Submission-ready manuscript.Intended for submission to a peer-reviewed journal in quantum information theory. Licence See LICENSE.
This repository contains the source files for the paper: Irreversibility and Ordering in Classical Observability of Quantum Structure The paper develops a formal framework explaining when and why classical statistics extracted from noisy quantum systems retain architecture-dependent information, and when they inevitably lose it. Building on a trilogy of earlier empirical and operational studies, the work introduces the diagnostic pipeline as a fundamental object of analysis: a fixed composition of a noise channel, a measurement choice, and a deterministic classical feature map. Such pipelines are shown to form a preorder under information-degrading transformations, induced by standard monotonicity principles. Within this framework, several phenomena observed empirically are shown to be structural necessities rather than numerical accidents: Feature-dependent collapse arises from deterministic feature post-processing below the identity (full-distribution) pipeline. Basis-dependent diagnostic blindness corresponds to incomparability between pipelines using different fixed measurement bases. Irreversible loss of distinguishability follows from genuine noise degradation and cannot be undone by downstream measurement or feature choices. The paper proves general monotonicity results, establishes generic incomparability of measurement bases, and derives falsifiable predictions linking noise–basis alignment to collapse thresholds for population-encoded distinctions. Minimal empirical consistency checks against the companion trilogy datasets are provided. The framework yields practical design principles for lightweight diagnostics in NISQ-era experiments, clarifying fundamental limits on classical access to quantum structure under realistic constraints. Contents Irreversibility_and_Ordering_in_Classical_Observability_of_Quantum_Structure.pdfFinal compiled manuscript. Irreversibility_and_Ordering_in_Classical_Observability_of_Quantum_Structure.texLaTeX source (self-contained; bibliography and figures embedded). Relation to Other Work This paper provides the formal, structural foundation for a companion trilogy on architecture-sensitive classical fingerprints under noise, including: Feature-dependent collapse under fixed pipelines Basis-dependent diagnostic blindness Selective transcription as an operational principle The present work unifies and explains these results within a single information-theoretic preorder framework. Status Submission-ready manuscript.Intended for submission to a peer-reviewed journal in quantum information theory. Licence See LICENSE.
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.
This archive contains the third paper in a coherent three-paper research trilogy examining how quantum structure is reflected in classical measurement statistics under noise. The paper introduces the Principle of Selective Transcription, which explains when and why quantum structural properties can survive noise as distinguishable classical statistics. It formalizes classical observability as a pipeline-dependent notion determined by the combined action of the noise channel, measurement basis, and classical feature extraction. On this basis, the paper introduces a taxonomy of quantum structure as robustly transcribable, fragilely transcribable, or intrinsically invisible. The work synthesizes and explains the empirical findings of the first two papers in the trilogy, accounting for conditional survival, ordered feature collapse, basis dependence, and regimes of diagnostic blindness. The framework is validated by a minimal analytical example (a two-qubit Bell state) and a targeted numerical confirmation demonstrating basis-dependent reversal of feature collapse ordering. This paper provides the conceptual capstone of the trilogy, offering an explanatory framework for classical observability in noisy quantum systems and clarifying fundamental limits on classical information extraction from quantum states.
This archive accompanies the paper Architecture-Sensitive Noise Fingerprints in Classical Statistics of Quantum States. It contains the full manuscript, all figures appearing in the paper, and the Python scripts used to generate the numerical results. The project demonstrates that classical measurement statistics obtained from noisy quantum states retain reproducible, architecture-dependent structure. Even under standard local, Markovian noise models, simple low-order classical features—such as entropy, maximum probability, parity mass, and Hamming-weight distributions—encode diagnostic fingerprints of the underlying quantum state architecture. The analysis focuses on stabilizer states (including GHZ, cluster, and star graph states), fixed measurement bases, and exact probability distributions. No machine learning, optimisation, tomography, or state reconstruction is used. All results are generated using transparent, reproducible numerical simulations. The contents of this archive are: LaTeX source and compiled PDF of the manuscript All figures used in the paper (PDF/PNG) Python scripts for generating the figures and classical feature data A README describing structure and reproducibility This archive is intended to support transparency, reproducibility, and reuse of the results, and may serve as a lightweight reference for diagnostic approaches to quantum noise and state architecture.
Part I Description This upload presents Part I of a four-part series on the Entropy-Induced Collapse (EIC) framework. This paper establishes the conceptual foundation of EIC as a recoverability-based structural framework for quantum measurement and effective irreversibility. Rather than proposing a new fundamental collapse dynamics, it argues that collapse-like irreversibility may be understood as the loss of operational recoverability within an otherwise unitary global evolution. Part I clarifies what EIC is and is not, defines the central role of recoverability, and positions the framework relative to decoherence, open-system dynamics, and objective-collapse approaches. Part II Description This upload presents Part II of a four-part series on the Entropy-Induced Collapse (EIC) framework. Building on the recoverability-based foundation established in Part I, this paper develops the internal transition structure of the framework. It argues that collapse-like behavior need not coincide with fully stabilized effective irreversibility, and introduces pre-threshold regimes, mismatch phenomena, and false-collapse as natural structural consequences of the EIC perspective. Part II establishes a regime-based transition landscape that prepares the ground for later operational and diagnostic analyses. Part III Description This upload presents Part III of a four-part series on the Entropy-Induced Collapse (EIC) framework. Building on the structural transition landscape developed in Parts I and II, this paper examines the operational windows through which the EIC framework may become legible in practice. It focuses on monitored and error-managed quantum systems as especially informative structural probes, and distinguishes among observational, logical, and recovery-sensitive indicators. Part III also develops threshold estimation, transitional diagnostics, first-passage, persistence, and regime tracking as operationally meaningful ways of reading the EIC transition landscape without reducing the framework to a naive trigger model. Part IV Description This upload presents Part IV of a four-part series on the Entropy-Induced Collapse (EIC) framework. Building on the foundational, transitional, and operational layers developed in Parts I–III, this paper introduces an extension layer for the framework in both generalized and experimentally accessible form. It develops generalized recoverability functionals, minimal formalizations of false-collapse and transitional margins, temporal diagnostics based on first-passage and persistence, and an explicit experimental and engineering layer based on entropy-like proxies, recovery-success measures, false-collapse statistics, threshold estimation, and cross-platform comparisons. Part IV also maps broader interpretive directions while preserving the central recoverability-based interpretation of effective irreversibility.
Modern theoretical physics faces an abundance of mathematically consistent frameworks and a scarcity of decisive empirical constraints. This work proposes a principled response to that situation by identifying stability under intervention as a primary selection criterion for viable physical theories. Adopting an explicitly operational perspective, the paper formulates stability as the non-amplification of operational distinguishability under physical processes, a requirement motivated by the finite precision and reproducibility of experimental practice. When combined with compositional consistency, purification, and reversible symmetry, this principle strongly constrains admissible statistical frameworks. Within this setting, quantum theory emerges not as a fundamental ontology or a historically contingent choice, but as the uniquely stable non-classical fixed point compatible with reproducible physical control by finite agents embedded within the systems they study. The defining structural features of quantum mechanics, including convex state spaces, affine dynamics, state–effect duality, and a Born-type probability rule, arise as consequences rather than postulates. The framework further suggests that spacetime locality and geometry need not be assumed a priori, but can be understood as constraints on the propagation of distinguishability in composite systems. Potential deviations from quantum theory are predicted to manifest as failures of stability, such as breakdown of dilation, violation of distinguishability monotonicity, or loss of local tomography. This repository contains the final submission-ready manuscript together with its LaTeX source and bibliography, deposited on Zenodo prior to journal submission.This version (v1.1) incorporates clarifications on scope, logical dependencies between principles, worked examples within the Jordan-algebra classification, strengthened hedging of speculative material, and refined statements of falsifiability, in response to detailed referee feedback.
This record contains version 2 of the preprint “Identifiability Limits in Experimental Tests of Quantum Collapse.” It supersedes the conceptually broader first version deposited under DOI 10.5281/zenodo.19617199 and substantially revises the framing, formal results and experimental analysis. The paper formulates experimental tests of objective-collapse dynamics as an operational identifiability problem. It shows that finite accessible CPTP process statistics cannot uniformly distinguish fundamental nonunitarity from an unrestricted unitary-environment dilation. It then separates visibility loss, record formation and global measurement access, and derives a nuisance-profiled Fisher-information criterion for determining when complementary measurement channels jointly identify a shared collapse-parameter vector. A four-arm matched-control architecture is proposed that combines baseline stability, coherent reversibility, calibrated decoherence, durable-record formation and at least one independent side-effect channel. The result is a falsifiable experimental decision framework and a boundary on what accessible data can establish; it is not presented as an ontological solution of the quantum measurement problem. A major technical revision is available as version 3 under DOI 10.5281/zenodo.22072199. This record contains version 2 of the preprint “Identifiability Limits in Experimental Tests of Quantum Collapse.” It supersedes the conceptually broader first version deposited under DOI 10.5281/zenodo.19617199 and substantially revises the framing, formal results and experimental analysis. The paper formulates experimental tests of objective-collapse dynamics as an operational identifiability problem. It shows that finite accessible CPTP process statistics cannot uniformly distinguish fundamental nonunitarity from an unrestricted unitary-environment dilation. It then separates visibility loss, record formation and global measurement access, and derives a nuisance-profiled Fisher-information criterion for determining when complementary measurement channels jointly identify a shared collapse-parameter vector. A four-arm matched-control architecture is proposed that combines baseline stability, coherent reversibility, calibrated decoherence, durable-record formation and at least one independent side-effect channel. The result is a falsifiable experimental decision framework and a boundary on what accessible data can establish; it is not presented as an ontological solution of the quantum measurement problem. Files in this record:1. Main preprint PDF.2. Reproducibility package containing the journal-neutral source, editable manuscript, original figures, deterministic calculation and figure-generation code, machine-readable results, citation metadata and SHA-256 checksums. The included calculations are deterministic mathematical and synthetic checks; they are not experimental validation.