ECEG V9: the submitted manuscript, editable LaTeX source and computational supplement. This repository deposit was created on 31 October 2026 to preserve a dated, DOI-identified copy. The manuscript and accompanying scientific files are unchanged from the Quantum Information Processing submission of 10 October 2026. This is a preprint, not an accepted or peer-reviewed publication. Full text and supplementary files are restricted; bibliographic metadata are public. AbstractQuantum records can encode different source observables while sharing the same reduced states and energy statistics. We determine the optimal fidelity for converting a family of such records using local diagonal controls on an arbitrary interaction hypergraph. The answer depends only on the branch overlap and the smallest unsupported interaction. A weighted phase inequality proves the optimum and supplies an attaining control. We also derive limits on shared access to records, distinguish equal endpoint marginals from stationary evolution, and extend the fidelity bound to mixed preparation errors and integrated control deviations. All results concern a specified finite-dimensional quantum model. FilesECEG_V9_QIP_Submitted.pdf: submitted English manuscript (18 pages).ECEG_V9_QIP_Source.zip: editable LaTeX source and template files.ESM_1.zip: numerical verification scripts, machine-readable results, reproducibility instructions and file manifest. The statement in the submitted manuscript that no public repository identifier was claimed describes the submission on 10 October 2026; the present DOI identifies this later archival deposit.
ECEG V9: the submitted manuscript, editable LaTeX source and computational supplement. This repository deposit was created on 31 October 2026 to preserve a dated, DOI-identified copy. The manuscript and accompanying scientific files are unchanged from the Quantum Information Processing submission of 10 October 2026. This is a preprint, not an accepted or peer-reviewed publication. Full text and supplementary files are restricted; bibliographic metadata are public. AbstractQuantum records can encode different source observables while sharing the same reduced states and energy statistics. We determine the optimal fidelity for converting a family of such records using local diagonal controls on an arbitrary interaction hypergraph. The answer depends only on the branch overlap and the smallest unsupported interaction. A weighted phase inequality proves the optimum and supplies an attaining control. We also derive limits on shared access to records, distinguish equal endpoint marginals from stationary evolution, and extend the fidelity bound to mixed preparation errors and integrated control deviations. All results concern a specified finite-dimensional quantum model. FilesECEG_V9_QIP_Submitted.pdf: submitted English manuscript (18 pages).ECEG_V9_QIP_Source.zip: editable LaTeX source and template files.ESM_1.zip: numerical verification scripts, machine-readable results, reproducibility instructions and file manifest. The statement in the submitted manuscript that no public repository identifier was claimed describes the submission on 10 October 2026; the present DOI identifies this later archival deposit.
A source-inclusive coherence observable is useful only when its measurement resources are admitted. This preprint constructs a bounded local reader for the conserved exchange observable of a specified finite quantum-record apparatus. A degree-three graph uses one independently prepared probe, twenty relays with arbitrary joint states, and finite-duration two-register extraction and full-SWAP interactions. The original apparatus Hamiltonian and an independently added archive-gated process remain active throughout their respective implementations. A prefix-dependent control-frame comparison, symmetry-resolved effect estimate, and explicit gain, phase and finite-slew waveform bounds yield a sufficient response separation greater than 0.005139889 for the stated fixed, fully accessible sixteen-position source and remaining response-error budgets. This is a conditional mathematical result, not measured hardware calibration, a partial-source-access theorem, or a unique diagnosis or derivation of fundamental collapse. The package contains the main manuscript, technical supplement, editable LaTeX, direct numerical reproduction sources, and accepted returned Mac evidence for 56 paper-specific supporting Lean declarations. That subset verifies selected algebra, scalar inequalities and the actual-constant numerical expression; it does not formalize the full physical/continuous-time theorem end-to-end. Separate-session AI review, numerical reproduction and returned kernel evidence are distinguished. Author-owned manuscripts, documentation and mathematical data are CC BY 4.0; newly authored numerical and Lean software is MIT. Predecessor and third-party notices remain unchanged; the reproduction package contains the licence map. No external funding; no competing interests declared. Public preprint v1.0; edition date 18 October 2026; DOI 10.5281/zenodo.23442579.
A versioned collection of twenty-one distinct AI-assisted research manuscripts on quantum information and quantum computation. Each manuscript is supplied as a separate PDF, identified by title, author, date, scope, website and QIQC report in README.md and MANUSCRIPTS.json. Sources for manuscripts 1–20 remain in sources-and-verification.zip; the new Chernoff manuscript's source and checking records are in chernoff-two-pass-source.zip. Collection version 1.3, 16 October 2026. This version adds Yuxuan Zhang, Two-pass local measurements beat the measured Chernoff exponent, manuscript version 1.0, 16 October 2026, 10 pages, file chernoff-two-pass.pdf. Theorem 1 gives faithful noncommuting four-dimensional states and a two-pass copywise LOCC counterexample to the universal equality in Eq. (4): the measured Chernoff exponent is below 0.677144, while the displayed protocol's exact exponent exceeds 0.68250256. The optimal unrestricted LOCC and SEP exponents, convergence of their optimal exponent sequences, and possible equality between the two classes remain unresolved. All twenty earlier manuscript PDFs and the earlier source archive are unchanged. Human and AI contributions. The author set the research directions, designed the harness that coordinated model tasks, tools, memory, and checking, supplied physical and mathematical intuitions and proof skeletons, and guided the development and revision of the research ideas. AI models developed detailed candidate arguments and derivations, searched the literature, wrote and ran computational checks, and drafted and revised the manuscripts under this supervision. This is an independently authored collection, not an official publication of the QIQC catalog. Archival publication does not establish novelty, external proof validation or catalog acceptance. Individual verification qualifications remain in each manuscript and index. Background references are distinguished from the manuscripts reporting the results. Withdrawn partial results and research logs are excluded. The eleven-qubit manuscript retains its individual DOI, 10.5281/zenodo.22968593. Prefer that individual DOI when citing that manuscript alone. Research website: https://yuxuanzhang1995.github.io/agentic-research/
A quantum record can have locally accessible populations while its distinguishing phase remains correlated with a distant source. We study this access boundary in a specified finite recording apparatus with a returning, vacuum/one-excitation source. Source-position weights give finite-time cutoff bounds without removing any physical hopping or return coupling. For an initially far-tagged record and its incoherent mixture, every reader in a declared position-preserving local-control class obeys a phase-visibility envelope and a necessary access-time inequality. A separate finite local probe shows why that state-discrimination limit is not an unrestricted limit on distinguishing two dynamical laws: fresh local coherence can reveal a stipulated added dephaser without recovering the old record phase. We construct a bounded, degree-three reader accessing only source positions 1–32. With the initial tag fixed at position 65, exact finite-source arrival certificates and an analytical tail comparison yield recovery uniformly over every finite total source length at least 65. Accessible control faults are charged against the arrived signed-phase norm, while source-moving drift is charged against the full norm. At the fixed deadline 25.02/J, the matched phase-dependent difference between coherent and archive-gated dynamics exceeds 0.005, including the stated simultaneous control faults and four additional absolute response allowances of 0.008 each. Complementary results cover a vacuum-ready source and a stronger endpoint-prepared finite example. The conclusions are conditional on the supplied model, preparations, common realized controls and calibration bounds. They are not a switchable-fundamental-law experiment, a nuisance-independent classifier, an optimal-speed theorem or an end-to-end formal verification. The supporting Lean companion contains 59 declarations in eight modules with accepted returned Mac compilation, type and axiom evidence; physical analytical interfaces remain explicit hypotheses or outside that subset. The deposit files include the main manuscript, technical supplement and full research/reproduction package.
Even the full outcome distribution of a specified diagonal Hamiltonian does not determine where a quantum memory stores readable information or how a probe can resolve it. We construct environmental encodings with identical populations and source states: one distributes a binary label across individual fragments, whereas the other conceals it from every proper subset. Established observable-algebra methods certify an exact probe null when the complete dynamics accesses only the matched algebra. A complementary coupling saturates a restricted trace-distance bound, yet its response is largest when neither encoding records the source and vanishes when their local-record contrast is maximal. For states matched only on low-degree interaction words, we derive a time-dependent Dyson-tail bound on probe distinguishability. A separate GHZ pair realizes an order-N onset, D_P(t) = |sin(2gt)|^N, despite identical energy populations and proper-subset reductions. Its phase can be perfectly distinguishable even at equal interference visibility. Preparation, leakage and statistical certificates connect these analytic results to a proposed measurement protocol. The benchmark separates energy statistics, record location and dynamical accessibility within ordinary quantum mechanics; it reports mathematical and numerical results, not experimental confirmation. Research status and contentsThis is an unreviewed preprint by Ahmet Faruk Arapoglu, Independent Researcher, Türkiye. It contains the English article with complete supplementary mathematical proofs, a Turkish translation of the same main article, and portable LaTeX sources, code and synthetic numerical outputs. Version 6 is the internal manuscript release number, not a claim of six previous public Zenodo releases. No external funding or competing interests are declared. No journal acceptance, new force, gravitational law, or established theory of everything is claimed. Author contribution and use of generative AIAhmet Faruk Arapoglu is the sole author and originator of the underlying ECEG proposal. The initial concept and mathematical framework originated with the author, who also established the research contexts, questions, investigative steps, conceptual branches and methodological objectives. These author-defined ideas and directions form the starting point of the work. Within this research programme, generative AI tools assisted with critical examination and literature research, development and checking of subsequent finite-dimensional formulations and derivations, computational implementation and verification, figures, and manuscript drafting, editing and translation. This assistance extended to the main text, mathematical supplement and reproduction code. The author retains authorship and responsibility for the final content, research claims and their interpretation. Türkçe açıklamaBu kayıt, aynı çalışmanın İngilizce ana metnini ve ayrıntılı kanıt ekini, Türkçe ana metin çevirisini ve yeniden üretim dosyalarını içerir. Sonuçlar açık varsayımlara dayanan analitik çıkarımlar ve sentetik hesaplamalardır; deneysel doğrulama ya da hakemli dergi kabulü değildir. Yazar katkısı ve üretken yapay zekâ kullanımıAhmet Faruk Arapoglu, çalışmanın temelindeki ECEG önerisinin tek yazarı ve özgün fikir sahibidir. Başlangıçtaki özgün fikir ve ilk matematiksel çerçeve yazarın kendisine aittir; araştırma bağlamları, soruları, inceleme basamakları, kavramsal dallanmaları ve yöntemsel hedefler de yazar tarafından belirlenmiştir. Çalışmanın çıkış noktasını yazarın bu fikirleri ve araştırma yönlendirmesi oluşturur. Bu araştırma programı kapsamında üretken yapay zekâ araçlarından eleştirel inceleme ve kaynak araştırmasında, sonraki sonlu boyutlu formülasyon ve türetimlerin geliştirilmesi ve kontrolünde, hesaplamaların kodlanması ve doğrulanmasında, şekillerde ve metnin yazımı, düzenlenmesi ve çevirisinde destek alınmıştır. Bu destek ana metni, matematiksel eki ve yeniden üretim kodunu kapsamaktadır. Nihai içeriğin, araştırma iddialarının ve bunların yorumlanmasının yazarlığı ve sorumluluğu Ahmet Faruk Arapoglu'ya aittir.
This record contains the post-PRA rebuilt preprint and source package for the working paper “Access-scale selection of public quantum records in critical and gapped environments”. The manuscript introduces a context-indexed selector for finite public quantum records and centers on a critical-versus-gapped selector theorem. The main result is that critical environmental correlations can create a scale-growing public-record selector advantage, whereas gapped correlations do not generically produce that advantage. The package includes the main manuscript, supplementary material, LaTeX sources, bibliography, citation metadata, licenses, and manifest files.
A durable quantum record, the location of its coherence, and a uniquely actual outcome are different physical questions. We study their separation in a supplied finite-dimensional quantum theory. An explicit, time-independent apparatus couples a system–detector encoding to a controller, a distinct archive, and a finite returning source. A conditional energy penalty suppresses release of the original record without deleting its return coupling. An invariant reduction and a one-sided spectral-gap estimate yield a certified interval with archive occupation above 0.98438, controller-latched occupation above 0.99161, and filled-but-unlatched weight below 2.402 × 10^-7 in one stated design. The same record statistics admit different source-label overlaps and hence different coherence on a specified retained boundary. A conserved product of complementary exchanges accesses that coherence when the finite source is included. Given a calibrated multiregister reader, its finite-duration response separates the coherent apparatus from an independently added archive-gated reduction law, with the added process left active during readout. A conservative example retains a response gap above 0.01717 after separately stipulated one-percent error allowances. The contribution is the finite construction and its quantitative retention, access, and readout interfaces. Quantum carriers, Hamiltonian couplings, trace readout, source preparation, and the reader are supplied; local reader synthesis, empirical calibration, absolute rate selection, and unique-event actualization are not established. Paper code: CFQR-P1 (Complementarity-First Quantum Records — Paper 1). The associated bundle contains the technical supplement, editable LaTeX, numerical checking programs and rational certificates, and selected Lean sources with returned build and axiom-audit evidence. The 39 supporting declarations are partially formalized; eleven recorded type excerpts contain printing elisions. This is not end-to-end formalization, external human peer review, an experimental detection of fundamental collapse, or a derivation of unique-event actualization. Author-owned manuscripts, documentation and mathematical data are CC BY 4.0; author-owned software is MIT, subject to the bundle’s licence map and third-party notices.