Bound on quantum scrambling with all-to-all interactions
Abstract
We prove bounds on operator growth and infinite temperature out-of-time-ordered correlators in many-body systems with N spin-12 degrees of freedom which interact via two-body all-to-all interactions. Our results parametrically improve previous bounds, and sharply constrain when and how quantum simulators, including trapped ion crystals and cavity quantum electrodynamics, can study quantum gravity.
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