Universal measurement-based quantum computation in a one-dimensional architecture enabled by dual-unitary circuits

Understand

A powerful tool emerging from the study of many-body quantum dynamics is that of dual-unitary circuits, which are unitary even when read `sideways', i.e., along the spatial direction.

• Here, we show that this provides the ideal framework to understand and expand on the notion of measurement-based quantum computation (MBQC).
• In particular, applying a dual-unitary circuit to a many-body state followed by appropriate measurements effectively implements quantum computation in the spatial direction.
• We show how the dual-unitary dynamics generated by the dynamics of the paradigmatic one-dimensional kicked Ising chain with certain parameter choices generate resource states for universal deterministic MBQC.