The connected wedge theorem and its consequences

Understand

In the AdS/CFT correspondence, bulk causal structure has consequences for boundary entanglement.

• In quantum information science, causal structures can be replaced by distributed entanglement for the purposes of information processing.
• In this work, we deepen the understanding of both of these statements, and their relationship, with a number of new results.
• Centrally, we present and prove a new theorem, the $n$-to-$n$ connected wedge theorem, which considers $n$ input and $n$ output locations at the boundary of an asymptotically AdS$_{2+1}$ spacetime described by AdS/CFT.