Distinguishability, Ensemble Steering, and the No-Signaling Principle

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We consider a fundamental operational task, distinguishing systems in different states, in the framework of generalized probabilistic theories and provide a general formalism of minimum-error discrimination of states in convex optimization. With the formalism established, we show that the distinguishability is generally a global property assigned to the ensemble of given states rather than other details of a given state space or pairwise relations of given states. Then, we consider bipartite systems where ensemble steering is possible, and show that show that with two operational tasks, ensemble steering and the no-signaling condition, the distinguishability is tightly determined. The result is independent to the structure of the state space. This concludes that the distinguishability is generally determined by the compatibility between two tasks, ensemble steering on states and the non-signaling principle on probability distributions of outcomes.
Publisher
Quantum Physics and Logic
Issue Date
2014-12
Language
English
Citation

Electronic Proceedings of Theoretical Computer Science

URI
http://hdl.handle.net/10203/244358
Appears in Collection
EE-Journal Papers(저널논문)
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