Quantum Spherical Codes: A Framework for Bosonic and CSS Code Construction

Learn about groundbreaking research in quantum coding theory through this conference presentation from the 19th Theory of Quantum Computation, Communication and Cryptography Conference (TQC 2024). Explore a novel framework for constructing quantum codes defined on spheres, presented as quantum analogues of classical spherical codes. Discover how this approach applies to bosonic coding, resulting in multimode extensions of cat codes that demonstrate superior performance while maintaining similar overhead requirements. Understand the innovative polytope-based cat codes, which combine points with large separation and spherical designs, and examine how CSS codes concatenated with cat codes can be reinterpreted as quantum spherical codes to provide autonomous protection against dephasing noise. Delivered by researchers Shubham P. Jain, Joseph T. Iosue, Alexander Barg, and Victor V. Albert at OIST, Japan, this 23-minute talk represents cutting-edge developments in theoretical quantum information science.