20.500.12556/RUL-124028 Scrambling in random unitary circuits: exact results We study the scrambling of quantum information in local random unitary circuits by focusing on the tripartite information proposed by Hosur et al. We provide exact results for the averaged Rényi-2 tripartite information in two cases: (i) the local gates are Haar random and (ii) the local gates are dual-unitary and randomly sampled from a single-site Haar-invariant measure. We show that the latter case defines a one-parameter family of circuits, and prove that for a “maximally chaotic” subset of this family quantum information is scrambled faster than in the Haar-random case. Our approach is based on a standard mapping onto an averaged folded tensor network, that can be studied by means of appropriate recurrence relations. By means of the same method, we also revisit the computation of out-of-time-ordered correlation functions, rederiving known formulas for Haar-random unitary circuits, and presenting an exact result for maximally chaotic random dual-unitary gates. nonequilibrium statistical mechanics quantum chaos neravnovesna statistična mehanika kvantni kaos true false false Angleški jezik Slovenski jezik Neznano 2020-12-21 12:19:36 2020-12-21 12:19:36 2022-09-04 03:57:13 0000-00-00 00:00:00 2020 0 0 Str. 064305-1-064305-25 iss. 6 Vol. 102 2020 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 536.93 2469-9950 10.1103/PhysRevB.102.064305 43003139 2997348 RAZ_Bertini_Bruno_2020.pdf RAZ_Bertini_Bruno_2020.pdf 1 DD5E66A157D5485A6254D0A1025633FB 8a320a74c45454d1c341960184acfd6fd1ab530037baac7b6ab597c06abe7dfa 75176e62-a1bb-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=139407 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.102.064305 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140135 Fakulteta za matematiko in fiziko 0 0 0