1305.3449 (Tomasz Ignacy Tylec)

Non-signaling boxes and quantum logics    [PDF]

Tomasz Ignacy Tylec

We present the analysis of the mathematical structure that is inherent in non-signalling theories from the point of view of so-called quantum logics. This establishes a new link between quantum information theory and well developed theory of quantum logics. Propositional system of an example of non-signalling theories is derived and its structure is analyzed. In particular we discuss the subtle relation to classical and quantum theories. Finally the origin of discussed example is elucidated from the point of view of mathematical structure.

View original: http://arxiv.org/abs/1305.3449