Tunable Geometries in Sparse Clifford Circuits

Abstract

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Transport and entanglement growth in long-range random Clifford circuits

“…In contrast to short-range models, where Lieb-Robinson bounds confine correlations to a linear "light cone" [52], long-range interactions may lead to faster information propagation [53,54]. Much effort has been invested to tighten Lieb-Robinson-like bounds for power-law interacting models [41,[55][56][57][58][59][60][61][62][63][64][65], as well as to study transport, correlation spreading, and entanglement dynamics [42,[66][67][68][69][70][71][72][73][74]. For chaotic systems in d dimensions, it was argued in [41,62] that linear light cones arise for α > d + 1/2, where the properties become similar to those of short-range models, while power-law or logarithmic bounds emerge for d/2 < α < d + 1/2.…”