Studies participation entropy in random Clifford and quantum automaton circuits, using these circuit architectures to diagnose measurement-induced critical behavior.
Develops a classical plaquette-model formulation for hybrid quantum circuits, making the local multi-spin interactions and finite-temperature phase structure explicit.
Studies how syndrome measurements respond to coherent unitary errors and identifies a transition where logical information stops being efficiently recoverable.
Relates randomized plaquette models to 1+1D cellular-automaton dynamics and connects their criticality to measurement-induced transitions in hybrid quantum circuits.
Links boundary-state entanglement transitions in measured cluster states to Ising partition functions with complex parameters and the difficulty of classical sampling.