Working in a broad “operational” framework in which arbitrary ordered vector spaces represent the state spaces of hypothetical physical systems, we discuss state spaces of composite systems, subject to a no-signaling condition. Many familiar quantum phenomena associated with entangled states (including no-cloning and no-broadcasting theorems) already appear at this level of generality. However, the existence of teleportation protocols is a strong constraint, moving us closer to quantum theory. In this talk, we’ll outline what we currently understand about teleportation in this setting; time allowing, we’ll also discuss remote steering and bit commitment. Much of this represents ongoing joint work with Jon Barrett and Matt Leifer.
Susquehanna University and Los Alamos National Laboratory