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Ergodicity breaking is observed in the blockade regime of Rydberg atomsarrays, in the form of low entanglement eigenstates known as scars, which failto thermalize. The signature of these states persists in periodically drivensystems, where they coexist with an extensive number of chaotic states. Here weinvestigate a quantum cellular automaton based on the classical rule thatupdates a site if its two neighbors are in the lower state. We show that thebreaking of ergodicity extends to chaotic states. The dynamical breaking ofergodicity is controlled by chiral quasiparticle excitations which propagateentanglement. Evidence of nonlocal entanglement is found, showing that thesenonthermal chaotic states may be useful to quantum computation.

Entanglement dynamics and ergodicity breaking in a quantum cellular automaton