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- Luigi Accardi, Yun Gang, Lu Igor Volovich

- Luigi Accardi
- 2001

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)

There exists an important problem whether there exists an algorithm to solve an NP-complete problem in polynomial time. In this paper, a new concept of quantum adaptive stochastic systems is proposed, and it is shown that it can be used to solve the problem above.

- Luigi Accardi, Andreas Boukas
- 2008

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)

- Luigi Accardi, Ruben Sabbadini
- 2000

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)

- Luigi Accardi, Massimo Regoli
- 2008

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)

- Luigi Accardi
- 2011

Appeared in: Ac82c Accardi L.: Some trends and problems in quantum probability, In: Quantum probability and applications to the quantum theory of irreversible processes,