ON STATISTICAL AND DETERMINISTIC QUANTUM TELEPORTATION

We generalize quantum teleportation to,what we call, statistical telep ortation utilizing previous results on distant preparation, and on the basic ingredient entities of an entangled composite-system state vect or. Our main result is 'the central theorem', establishing a simple ne cessary and sufficient condition for the crucial entity: the event tha t the sender of a pure quantum state has to measure in the first step of the two-step (and two-laboratory) teleportation procedure. We deriv e numerous consequences especially for deterministic teleportation (a special case of statistical teleportation), which is a direct generali zation of the known quantum teleportation. Detailed further generaliza tion to proper and improper mixtures is investigated. Finally, it is s hown that extension to teleportation with nonlinear distant preparatio n is not possible unless the idea of teleportation is essentially chan ged.