Engineering 3D Floquet codes by rewinding

Understand

Floquet codes are a novel class of quantum error-correcting codes with dynamically generated logical qubits arising from a periodic schedule of non-commuting measurements.

• We utilize the interpretation of measurements in terms of condensation of topological excitations and the rewinding of measurement sequences to engineer new examples of Floquet codes.
• In particular, rewinding is advantageous for obtaining a desired set of instantaneous stabilizer groups on both toric and planar layouts.
• Our first example is a Floquet code with instantaneous stabilizer codes that have the same topological order as 3D toric code(s).