Guillaume Lessard

Exact Minimum Distance of a [[832,10]] Quantum LDPC Code: d = 15 by Exact Fold and Lift Enumeration

We determine the exact minimum distance of a two block quasi cyclic CSS code with 832 physical and 10 logical qubits. Earlier work had shown 10 ≤ d ≤ 15. We close the interval and prove d = 15. In each CSS sector the classical kernel has no nonzero word of weight 1 to 14 and exac...

LCL-832: Channel-Defined Closed-System with Entropic, Spectral Bounds

LCL-832: Channel-Defined Closed-System with Entropic, Spectral Bounds Author: Guillaume Lessard, iD01t Productions (ORCID: 0009-0000-3465-3753) Date: March 28, 2026 DOI: 10.5281/zenodo.19301576 What this deposit contains LCL-832_v8_Channel-Defined Closed-System with Entropic, Spe...

Quantum-Metaphysical Architecture of Reality: Analysis of Self-Projected Unity

Quantum-Metaphysical Architecture of Reality: Analysis of Self-Projected Unity Author: Guillaume Lessard, iD01t Productions (ORCID: 0009-0000-3465-3753) Date: March 14, 2026 Version: 3.0 Updated DOI: 10.5281/zenodo.19022073 Access: restricted; no public files. What this deposit i...

A Tensor-Network Factorization Template for Qudit Projectors with Conjectured Complexity Scaling

The document formalizes the Local Character Projection Identity (LCPI) as a structural template applicable to qudit systems. It introduces representation-complexity metrics for Matrix Product Operator (MPO) realizations, distinguishing between raw parameter counts and gauge-reduc...

SATI CODEX: Unified Z12 Monodromy Protocol with Operator, Spectral, and Termination Bounds

SATI CODEX: Unified Z12 Monodromy Protocol with Operator, Spectral, and Termination Bounds Author: Guillaume Lessard, iD01t Productions (ORCID: 0009-0000-3465-3753) Date: April 1, 2026 DOI: 10.5281/zenodo.19373406 What this deposit contains SATI_CODEX_Z12_Monodromy_Protocol.pdf (...

The Observer is the Observed: A Stratified Model Internal Closure for the SATI CODEX Protocol

The Observer is the Observed: A Stratified Model Internal Closure for the SATI CODEX Protocol Author: Guillaume Lessard, iD01t Productions (ORCID: 0009-0000-3465-3753) Date: April 5, 2026 DOI: 10.5281/zenodo.19421943 What this deposit contains The_Observer_Is_the_Observed_Easter_...

QECTOR MEGA 2.2.1 | Full Scientific Reference Manual and Verification Report

QECTOR MEGA 2.2.1 | Full Scientific Reference Manual and Verification Report Authors Guillaume Lessard (ORCID 0009-0000-3465-3753) / iD01t Productions Description This deposit contains the complete scientific reference manual, mathematical foundations, architecture description, A...

SATI CODEX: Driven-Dissipative Open Quantum Field Theory of Neural Collective Coherence

SATI CODEX | Driven-Dissipative Open Quantum Field Theory of Neural Collective Coherence – Complete Mathematical Closure Edition (May 2026) Authors: Guillaume Lessard (El’Nox Rah), ORCID: 0009-0000-3465-3753 Affiliation: iD01t Research Lab | iD01t Productions, Longueuil, Quebec,...

Mathematical Analysis and Explicit Construction of a Rectangular CSS Surface Code with Parameters [[1024, 16, 8]]

We present a rigorous, self-contained construction and full mathematical analysis of a CSS surface code on a 64x16 qubit lattice, encoding k=16 logical qubits in n=1024 physical qubits at distance d=8. The paper gives explicit algebraic definitions of the stabilizer generators, g...

QECTOR Decoder v3 (1.0.0) - Full Scientific Verification & Validation Report

This deposit contains the complete author conducted scientific verification and validation package for QECTOR Decoder v3 version 1.0.0 (PyPI: qector decoder v3). Package under test qector decoder v3 1.0.0 (cp311 win_amd64 release wheel) Black box test suite written exclusively ag...

QECTOR Decoder v3: Syndrome-Faithful Decoding - Foundations, Algorithms, and Architecture of a Fifteen-Backend Quantum Error Correction Engine

QECTOR Decoder v3: Syndrome Faithful Decoding, Foundations, Algorithms, and Architecture of a Fifteen Backend Quantum Error Correction Engine QECTOR Decoder v3 is a quantum error correction decoding engine written in Rust with PyO3 Python bindings. It provides fifteen specialized...

QECTOR-Decoder-v3: High-Performance Compiled Rust Quantum Error Correction Engine & Verification Proof Suite

QECTOR-Decoder-v3 is a high-throughput, multi-backend quantum error correction (QEC) decoding suite implemented in compiled native Rust with native Python bindings via PyO3. Designed for high-performance computing (HPC) environments, low-latency quantum hardware pipelines, and of...

SATI CODEX / LCL-832 / LCL-833: Unified Scientific Publication on Genus-5 Topological Error Correction and Liouvillian Spectral Dynamics (April 2026 Final Edition)

SATI CODEX / LCL-832 / LCL-833: Unified Scientific Publication on Genus-5 Topological Error Correction and Liouvillian Spectral Dynamics (April 2026 Final Edition) Author: Guillaume Lessard, iD01t Productions (ORCID: 0009-0000-3465-3753) Date: April 9, 2026 Version: Final Edition...