XYZ ruby code: Making a case for a three-colored graphical calculus for quantum error correction in spacetime

Understand

Analyzing and developing new quantum error-correcting schemes is one of the most prominent tasks in quantum computing research.

• In such efforts, introducing time dynamics explicitly in both analysis and design of error-correcting protocols constitutes an important cornerstone.
• In this work, we present a graphical formalism based on tensor networks to capture the logical action and error-correcting capabilities of any Clifford circuit with Pauli measurements.
• We showcase the formalism on new Floquet codes derived from topological subsystem codes, which we call XYZ ruby codes.