1210.3125 (Joonwoo Bae)

Distinguishability, Ensemble Steering, and the No-Signaling Principle    [PDF]

Joonwoo Bae

We consider a fundamental operational task, distinguishing systems in different states, in the framework of generalized probabilistic theories and provide a general formalism of the task. Optimality conditions are explicitly shown. With the formalism established, we show that for any generalized probabilistic theories where the ensemble steering is allowed, the no-signaling principle can tightly determine the distinguishability of states, independently to how their state spaces are structured. This shows that distinguishability is generally characterized as a consequence that ensemble steering on states and the non-signaling constraint on probabilities are compromised.

View original: http://arxiv.org/abs/1210.3125