  The Sachdev-Ye-Kitaev (SYK) model is an all-to-all interacting Majorana
fermion model for many-body quantum chaos and the holographic correspondence.
Here we construct fermionic all-to-all Floquet quantum circuits of random
four-body gates designed to capture key features of SYK dynamics. Our circuits
can be built using local ingredients in Majorana devices, namely
charging-mediated interactions and braiding Majorana zero modes. This offers an
analog-digital route to SYK quantum simulations that reconciles all-to-all
interactions with the topological protection of Majorana zero modes, a key
feature missing in existing proposals for analog SYK simulation. We also
describe how dynamical, including out-of-time-ordered, correlation functions
can be measured in such analog-digital implementations by employing foreseen
capabilities in Majorana devices.
