Localization with random time-periodic quantum circuits

Understand

We consider a random time evolution operator composed of a circuit of random unitaries coupling even and odd neighboring spins on a chain in turn.

• In spirit of Floquet evolution, the circuit is time-periodic; each timestep is repeated with the same random instances.
• We obtain analytical results for arbitrary local Hilbert space dimension d: On a single site, average time evolution acts as a depolarising channel.
• In the spin 1/2 (d=2) case, this is further quantified numerically.