The optimal success probability of a communication game sets fundamental limitations on an operational theory. Quantum advantage parity oblivious random access code (PORAC), game, over classical resources reveals the preparation contextuality quantum theory [Phys. Rev. Lett. 102, 010401 (2009)]. Optimal in N-dit PORAC for finite dimensions is open problem. Here, we show that degree uncertainty ...

We develop an algebraic frame for the simultaneous treatment of actual and possible properties of quantum systems. We show that, in spite of the fact that the language is enriched with the addition of a modal operator to the orthomodular structure, contextuality remains a central feature of quantum systems.

Introduction A recent article in Elsevier, a Dutch magazine, says that managers involved in strategy making overestimate their possibilities to steer organisations (Crooijmans, 1998). In other terms, managers overestimate their agency, or their ability to make a difference (Giddens, 1984) in an organisation by making and implementing strategies. Then what should strategy consultants do if they ...

Many seemingly paradoxical effects are known in the predictions for outcomes of measurements made on preand post-selected quantum systems. A class of such effects, which we call “logical preand post-selection paradoxes”, bear a striking resemblance to proofs of the Bell-Kochen-Specker theorem, which suggests that they demonstrate the contextuality of quantum mechanics. Despite the apparent simi...

In a recent work, it was shown by one of us (EGC) that Bell-Kochen-Specker inequality violations in phenomena satisfying the no-disturbance condition (a generalisation no-signalling condition) cannot general be explained with faithful classical causal model---that is, model satisfies assumption <mml:mtext...