Grand Unification of continuous-variable codes

Understand

Quantum error correction codes in continuous variables (also called CV codes, or single-mode bosonic codes) have recently been identified to be a technologically viable option for building fault-tolerant quantum computers.

• The best-known examples are the GKP code and the cat-code, both of which were shown to have some advantageous properties over any discrete-variable, or qubit codes.
• It was recently shown that the cat-code, as well as other kinds of CV codes, belong to a set of codes with common properties called rotation-symmetric codes.
• We expand this result by giving a general description of sets of codes with common properties, and rules by which they can be mapped into one another, effectively creating a unified description of continuous-variable codes.