Differential Privacy in the Shuffle Model: A Survey of Separations. (arXiv:2107.11839v1 [cs.CR])

Differential privacy is often studied in one of two models. In the central
model, a single analyzer has the responsibility of performing a
privacy-preserving computation on data. But in the local model, each data owner
ensures their own privacy. Although it removes the need to trust the analyzer,
local privacy comes at a price: a locally private protocol is less accurate
than a centrally private counterpart when solving many learning and estimation
problems. Protocols in the shuffle model are designed to attain the best of
both worlds: recent work has shown high accuracy is possible with only a mild
trust assumption. This survey paper gives an overview of novel shuffle
protocols, along with lower bounds that establish the limits of the new model.
We also summarize work that show the promise of interactivity in the shuffle