The Governors of the University of Calgary

Purpose

This Project aims to develop a novel approach to quantum error correction (QEC) by directly representing code spaces with tensor networks. This flexible framework extends beyond traditional stabilizer codes, enabling the discovery of more efficient non-additive QEC codes and those associated with local gapped Hamiltonians. The Project focuses on developing a rigorous theoretical framework, connecting it to existing QEC methods, designing novel codes using variational methods, reinforcement learning (RL), and quantum algorithms, and exploring the relationship between these codes and parent Hamiltonians. Combining theoretical development, computational techniques, and practical implementation, the Project will deliver new theoretical tools, optimized QEC constructions, efficient encoding/decoding algorithms, and open-source software. This effort addresses critical challenges of noise and scalability, advancing faulttolerant quantum computing and contributing to robust quantum technologies.