Quantum Teleportation: An Operator Algebraic Perspective

We show that quantum teleportation is intimately connected to Jones' basic construction. This connection leads to generalized, or hybrid teleportation protocols to simultaneously transmit classical and quantum information through finite dimensional von Neumann algebras. We present two operationally concrete teleportation protocols, Hybrid teleportation and our so-called Scaffolding teleportation. Under some mild symmetry assumptions, we establish that any teleportation scheme in the scaffolding framework is equivalent to a teleportation scheme of a special form.