Fast Scrambling transition in sparse Clifford circuits*

Quantum information scrambling is the process in which the initially localized quantum information gets delocalized due to many body dynamics present in the system. The question of efficient scrambling is especially relevant in experiments and noisy quantum simulators, where every applied gate is affected by noise and dissipation. In a local lattice, the underlying linear lightcone which governs the propagation of information limits the number of qubits that can be involved in any computation within the coherence time. By contrast, in systems with highly non-local interactions, it is possible for the information to spread exponentially rapidly. In this work, we study novel transitions between slow and fast scrambling regimes in Clifford circuits with tunable non-local sparse coupling. These models are experimentally accessible with 1D arrays of optically trapped neutral atoms, where non-local couplings are implemented by the rapid shuffling of atoms using optical tweezers. By tuning the sparse interactions and analyzing the degree to which information has been scrambled in the system using tripartite mutual information (TMI), we investigate this fast scrambling transition.