In this talk, I will discuss recent work in which we define a generally covariant max- and min-entanglement wedge of a boundary region B. I will conjecture how these regions pertain to bulk reconstruction. We will prove that the min- and max-entanglement wedges obey various properties necessary for this conjecture, such as nesting, inclusion of the causal wedge, and a reduction to the usual quantum extremal surface prescription in the appropriate special cases. This requires us to reformulate the standard quantum extremal surface prescription in yet another new manner. These proofs furthermore all rely on one-shot versions of the (restricted) quantum focusing conjecture (QFC) that we conjecture to hold. I will discuss what this one-shot QFC might imply in the non-gravitational limit.
