Grant: Collaborative Science, Technology and Innovation Program - Collaborative R&D Initiatives
University of Guelph
$253,000.00
Novel Quantum Error Correction Frameworks and Non-Additive Codes
FY 2025-26 · 2026-03-27
Summary
Quantum error correction (QEC) is a central topic in modern quantum science. At its core, QEC is concerned with protecting encoded quantum information from the errors and noise of quantum systems. Operator quantum error correction (OQEC) and the higher rank numerical range (HRNR) compression formalism combine to provide a unified language where QEC code spaces, subsystems, noise processes, and fault-tolerant symmetries are analyzed as compression problems on Hilbert space. In this framework, the numerical range of an operator and its signature norm allow stabilizer, nonadditive, and subsystem QEC code constructions to be treated on equal footing alongside general, non-Pauli noise models. The goal of the Project is to translate this formalism into a practical toolkit for code discovery and analysis. Simultaneously, the Project will develop AIassisted, data-driven workflows to classify and co-design nonadditive and subsystem codes that are optimized for specific noise environments.
Department
Program
Collaborative Science, Technology and Innovation Program - Collaborative R&D Initiatives
Recipient
Location
Guelph|Guelph, Ontario, Canada
Recipient Type
Academia
Business Number
108161829
Type
Grant
Source
Proactive Disclosure - Grants and Contributions
As published
Agreement End Date
2028-03-31
Agreement Number
1041194
Agreement Start Date
2026-03-27
Agreement Title
Novel Quantum Error Correction Frameworks and Non-Additive Codes
Agreement Title (French)
Nouveaux cadres de correction d’erreurs quantiques et codes non additifs
Agreement Type
Grant
Agreement Value
$253,000.00
Amendment Number
0
Description
Quantum error correction (QEC) is a central topic in modern quantum science. At its core, QEC is concerned with protecting encoded quantum information from the errors and noise of quantum systems. Operator quantum error correction (OQEC) and the higher rank numerical range (HRNR) compression formalism combine to provide a unified language where QEC code spaces, subsystems, noise processes, and fault-tolerant symmetries are analyzed as compression problems on Hilbert space. In this framework, the numerical range of an operator and its signature norm allow stabilizer, nonadditive, and subsystem QEC code constructions to be treated on equal footing alongside general, non-Pauli noise models. The goal of the Project is to translate this formalism into a practical toolkit for code discovery and analysis. Simultaneously, the Project will develop AIassisted, data-driven workflows to classify and co-design nonadditive and subsystem codes that are optimized for specific noise environments.
Description (French)
La correction d’erreurs quantiques constitue un pilier central de la science quantique moderne et vise à protéger l’information contre le bruit et les erreurs. La combinaison de la correction par opérateurs et du formalisme HRNR fournit un cadre unifié pour analyser les codes, sous-systèmes et processus de bruit comme des problèmes de compression dans l’espace de Hilbert.
Ce cadre permet de traiter sur un pied d’égalité divers types de codes et modèles de bruit. L’objectif consiste à transformer cette approche en une boîte à outils pratique, tout en développant des méthodes assistées par IA pour concevoir des codes optimisés selon des environnements spécifiques.
Expected Results
In the short term, anticipated outcomes will be strengthened collaborations across industry, academia, and government to support research excellence. In the medium term, anticipated outcomes will be the development of new and potentially disruptive technologies with collaborators. In the long term, find collaborative solutions to public policy challenges and create stronger innovation systems.
Expected Results (French)
À court terme, les résultats prévus seront des collaborations renforcées entre l'industrie, le milieu universitaire et le gouvernement pour soutenir l'excellence en recherche. À moyen terme, les résultats attendus seront le développement de nouvelles technologies potentiellement perturbatrices avec des collaborateurs. À long terme, trouver des solutions collaboratives aux défis des politiques publiques et créer des systèmes d'innovation plus solides.
Federal Riding
Guelph
Federal Riding (French)
Guelph
Federal Riding Number
35033
NAICS Code
541710 - R&D in the physical, engineering and life sciences
Organization Code
nrc-cnrc
Organization
National Research Council Canada | Conseil national de recherches Canada
Program Name
Collaborative Science, Technology and Innovation Program - Collaborative R&D Initiatives
Program Name (French)
Programme de collaboration en science, en technologie et en innovation - Initiatives de collaboration en R-D
Program Purpose
Collaborate on multiparty research and development programs to catalyze transformative, high-risk, high-reward research with the potential for game-changing scientific discoveries and technological breakthroughs in priority areas.
Program Purpose (French)
Collaborer à des programmes multipartites de recherche-développement dans le but de profiter de la synergie entre la recherche transformatrice à haut risque et à haut rendement et le potentiel de découvertes scientifiques et de percées technologiques révolutionnaires dans des secteurs d’intervention prioritaires.
Recipient Business Number
108161829
Recipient City
Guelph|Guelph
Recipient Country
CA
Recipient Legal Name
University of Guelph
Recipient Postal Code
N1G 2W1
Recipient Province or Territory
ON
Recipient Type
S
Reference Number
172-2025-2026-Q4-1041194
