Probing many-body localization via compression of Floquet random circuits

In this work, we investigate numerical algorithms for the compression of quantum circuits into shallower ones, better suited for simulations on near-term quantum devices. We apply our compression scheme to a time periodic random circuit, which can exhibit many-body localization (MBL). As MBL has been observed in finite Hamiltonian models as a crossover of different regimes, it is still an open question, to what extent it persists at longer timescales or in larger systems. We explore circuit compressibility of a possible scalable probe of localization. Furthermore, compressed Floquet random circuits might open a practical route to observe dynamical signatures of localization in digital quantum simulations on near-term quantum processors.