Quantum dynamics is of fundamental interest and has implications in quantum information processing. The four-point out-of-time-ordered correlator (OTOC) traditionally used to quantify scrambling under many-body dynamics. Due the OTOC's unusual time ordering, its measurement challenging. We propose higher-point OTOCs reveal early-time behavior, present protocols measure any OTOC using shadow est...

In this paper we describe an algebraic/geometrical approach to quantum scrambling. Generalized subsystems are described by hermitian-closed unital subalgebra A of operators evolving through a unitary channel. Qualitatively, scrambling is defined how the associate...