Luigi Accardi

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We prove that the locality condition is irrelevant to Bell in equality. We check that the real origin of the Bell's inequality is the assumption of applicability of classical (Kol-mogorovian) probability theory to quantum mechanics. – Inequalities among numbers – The Bell inequality – Implications of the Bell's inequalities for the singlet correlations –(More)
Motivated by the work of Segal and Segal in [16] on the Black-Scholes pricing formula in the quantum context, we study a quantum extension of the Black-Scholes equation within the context of Hudson-Parthasarathy quantum stochastic calculus,. Our model includes stock markets described by quantum Brownian motion and Poisson process. An option is a ticket(More)
We analyze, from the point of view of quantum probability, statistical data from two interesting experiments, done by Shafir and Tversky [1, 2] in the domain of cog-nitive psychology. These are gambling experiments of Prisoner Dilemma type. They have important consequences for economics, especially for the justification of the Savage " Sure Thing Principle(More)
We investigate the necessary and sufficient conditions in order that a uni-tary operator can amplify a pre-assigned component relative to a particular basis of a generic vector at the expence of the other components. This leads to a general method which allows, given a vector and one of its components we want to amplify, to choose the optimal unitary(More)
We describe an experiment in which two non communicating computers , starting from a common input in the form of sequences of pseudo–random numbers in the interval [0, 2π], and computing deter-ministic {±1}–valued functions, chosen at random and independently, produce sequences of numbers whose correlations coincide with the EPR correlations and therefore(More)