Ordered linear spaces and categories as frameworks for information-processing characterizations of quantum and classical theory

Understand

We review some of our recent results (with collaborators) on information processing in an ordered linear spaces framework for probabilistic theories.

• These include demonstrations that many "inherently quantum" phenomena are in reality quite general characteristics of non-classical theories, quantum or otherwise.
• As an example, a set of states in such a theory is broadcastable if, and only if, it is contained in a simplex whose vertices are cloneable, and therefore distinguishable by a single measurement.
• As another example, information that can be obtained about a system in this framework without causing disturbance to the system state, must be inherently classical.