Deterministic Redundancy Elimination via Trace-Indexed Sign/CRC Reuse in QSOL-IMC QEC v68.5.0

Deterministic Redundancy Elimination via Trace-Indexed Sign/CRC Reuse in QSOL-IMC QEC v68.5.0 | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 18 March 2026 V1 Latest version Share on Deterministic Redundancy Elimination via Trace-Indexed Sign/CRC Reuse in QSOL-IMC QEC v68.5.0 Author : Trent Slade 0009-0002-4515-9237 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177385917.71767032/v1 102 views 34 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This document presents a formally validated optimization within the QSOL-IMC Quantum Error Correction (QEC) framework (v68.5.0). The optimization exploits a data-level invariant in belief propagation (BP) dynamics diagnostics: sign vectors and their derived CRC32 signatures are pure, deterministic functions indexed solely by trace position. This invariant enables elimination of redundant computation across multiple diagnostic metrics through trace-level precomputation and reuse. The invariant is proven via slice-level equivalence, byte-level identity, and purity arguments, and validated with deterministic instrumentation. The full test suite remains unchanged and passes completely. The optimization reduces redundant sign computations by 75.3% within BP dynamics analysis while preserving bitwise identity, convergence behavior, and reproducibility guarantees. Scope. This document covers invariant validation and diagnostic-layer optimization only. No algorithmic changes to decoding behavior are introduced. Supplementary Material File (qsol-imc qec v68.5.pdf) Download 20.72 KB Information & Authors Information Version history V1 Version 1 18 March 2026 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Keywords belief propagation computational reuse deterministic systems invariant-based optimization quantum error correction Authors Affiliations Trent Slade 0009-0002-4515-9237 [email protected] QSOL-IMC -Independent Research Lab (Quantum Information, Error Correction, and Computational Systems) View all articles by this author Metrics & Citations Metrics Article Usage 102 views 34 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Trent Slade. Deterministic Redundancy Elimination via Trace-Indexed Sign/CRC Reuse in QSOL-IMC QEC v68.5.0. Authorea . 18 March 2026. 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