Measurement Quantum Cellular Automata and Anomalies in Floquet Codes

Understand

We investigate the evolution of quantum information under Pauli measurement circuits.

• We focus on the case of one- and two-dimensional systems, which are relevant to the recently introduced Floquet topological codes.
• We define local reversibility in context of measurement circuits, which allows us to treat finite depth measurement circuits on a similar footing to finite depth unitary circuits.
• In contrast to the unitary case, a finite depth locally reversible measurement circuit can implement a translation in one dimension.