AI summary · arXiv: 2004.13697v1 · cond-mat.stat-mech
Scrambling in Random Unitary Circuits: Exact Results
The essentials
- Authors Bruno Bertini and Lorenzo Piroli study quantum information scrambling in local random unitary circuits.
- They focus on the tripartite information concept introduced by Hosur et al.
- The researchers present precise findings on the averaged R\'enyi-$2$ tripartite information in two scenarios: Haar random distribution and dual-unitary gates from a single-site Haar-invariant measure.
- Bertini and Piroli show that the latter case leads to a one-parameter family of circuits, with a subset characterized as "maximally chaotic" where quantum information scrambles faster than in the Haar-random gate scenario.
- Their methodology involves mapping onto an averaged folded tensor network using recurrence relations for analysis.
- They revisit computation of out-of-time-ordered correlation functions using this approach, reaffirming known formulas for Haar-random unitary circuits and presenting an exact result for systems with maximally chaotic random dual-unitary gates.
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