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Teleportation in General Probabilistic Theories

Howard Barnum‚ Jonathan Barrett‚ Matthew Leifer and Alexander Wilce

Abstract

In a previous paper, we showed that many important quantum information-theoretic phenomena, including the no-cloning and no-broadcasting theorems, are in fact generic in all non-classical probabilistic theories. An exception is teleportation, which most such theories do not support. In this paper, we investigate which probabilistic theories, and more particularly, which composite systems, \backslashem do support a teleportation protocol. We isolate a natural class of composite systems that we term \backslashem regular and establish necessary and sufficient conditions for a regular tripartite system to support a conclusive, or post-selected, teleportation protocol. We also establish a sufficient condition for deterministic teleportation that yields a large supply of theories, neither classical nor quantum, that support such a protocol.

Book Title
Mathematical Foundations of Information Flow: Proceedings of the Clifford Lectures
Keywords
Quantum Physics
Pages
25–47
Volume
71
Year
2008