Symmetry enriched phases of quantum circuits

Understand

Quantum circuits consisting of random unitary gates and subject to local measurements have been shown to undergo a phase transition, tuned by the rate of measurement, from a state with volume-law entanglement to an area-law state.

• From a broader perspective, these circuits generate a novel ensemble of quantum many-body states at their output.
• In this paper, we characterize this ensemble and classify the phases that can be established as steady states.
• Symmetry plays a nonstandard role in that the physical symmetry imposed on the circuit elements does not on its own dictate the possible phases.