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arXiv · 0805.3553

Teleportation in General Probabilistic Theories

Howard Barnum·Jonathan Barrett·Matthew Leifer·Alexander Wilce
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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, {\em do} support a teleportation protocol. We isolate a natural class of composite systems that we term {\em 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.

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Howard Barnum, Jonathan Barrett, Matthew Leifer, Alexander Wilce. 2008-05-23. Teleportation in General Probabilistic Theories. https://arxiv.org/abs/0805.3553

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