Dimensionality of Quantum Circuits

Absence of localization in two-dimensional Clifford circuits

We study a floquet circuit with random clifford gates in one and two spatial dimensions.Furthermore, we unveil that the spectral form factor of the floquet unitary in two-dimensional circuits behaves like that of quasi-free fermions with chaotic single particle dynamics, with an exponential ramp that persists till times scaling linearly with the size of the system.