Teleporting a qubit a la Everett

If both Alice and Bob have access to a two-qubit "background state" then, by simulating Everett's many worlds interpretation of measurement, Alice can teleport a qubit to Bob, each using fixed unitaries. If Bob has access to only one of the background qubits, teleportation is still possible by Alice sending Bob one classical bit of information gained from a measurement of the other qubit. The Everett picture unifies unitaries, measurements, and classical communication into just unitaries, provided there are background states shared by all parties