Shubham P. Jain

I'll introduce a framework for constructing quantum codes defined on spheres, taking inspiration from classical spherical codes. The framework is applied to bosonic coding, obtaining multimode extensions of the cat codes that can outperform previous constructions while requiring a similar type of overhead. Our polytope-based cat codes consist of sets of points with large separation that at the same time form averaging sets known as spherical designs, a property sufficient to guarantee protection against photon losses.