New challenges for classical and quantum probability
L Accardi - Entropy, 2022 - mdpi.com
The discovery that any classical random variable with all moments gives rise to a full
quantum theory (that in the Gaussian and Poisson cases coincides with the usual one) …
quantum theory (that in the Gaussian and Poisson cases coincides with the usual one) …
The quantum moment problem for a classical random variable and a classification of interacting Fock spaces
L Accardi, YG Lu - Infinite Dimensional Analysis, Quantum …, 2022 - World Scientific
The fact that any classical random variable with all moments has a quantum decomposition
allows to associate to it a family of quantum moments. On the other hand, a classical random …
allows to associate to it a family of quantum moments. On the other hand, a classical random …
Quantum probability, orthogonal polynomials and quantum field theory
L Accardi - Journal of Physics: Conference Series, 2017 - iopscience.iop.org
The main thesis of the present paper is that: Quantum Probability is not a generalization of
classical probability, but it is a deeper level of it. Classical random variables have an intrinsic …
classical probability, but it is a deeper level of it. Classical random variables have an intrinsic …
The -bit (I): Central limits with left -Jordan–Wigner embeddings, monotone interacting Fock space, Azema random variable, probabilistic meaning of
L Accardi, YG Lu - Infinite Dimensional Analysis, Quantum …, 2018 - World Scientific
The qq-bit is the q-deformation of the q-bit. It arises canonically from the quantum
decomposition of Bernoulli random variables and the q-parameter has a natural probabilistic …
decomposition of Bernoulli random variables and the q-parameter has a natural probabilistic …
The Quantum Mechanics Canonically Associated to Free Probability I: Free Momentum and Associated Kinetic Energy
L Accardi, T Hamdi, YG Lu - Open Systems & Information Dynamics, 2022 - World Scientific
After a short review of the quantum mechanics canonically associated with a classical real
valued random variable with all moments, we begin to study the quantum mechanics …
valued random variable with all moments, we begin to study the quantum mechanics …
[PDF][PDF] The qq–bit (I): probabilistic meaning of q, left q–Jordan–Wigner embeddings, central limits, monotone interacting Fock space and the Azema random variable to …
L Accardi, YG Lu - Dimens. Anal. Quantum Probab. Relat. Top …, 2018 - researchgate.net
The present paper is the first of a series of four in which we study these theorems in the
tensor product context. We prove convergence of the CLT for all q∈ C. For q∈ R the …
tensor product context. We prove convergence of the CLT for all q∈ C. For q∈ R the …
[PDF][PDF] Emergence of Quantum Theories from Classical Probability: Historical Origins, Developments, and Open Problems
L Accardi, YG Lu - Journal of Stochastic Analysis, 2020 - repository.lsu.edu
After briefly mentioning some achievements of quantum probability during the past 20 years,
we concentrate our attention on the emergence of natural extensions of usual quantum …
we concentrate our attention on the emergence of natural extensions of usual quantum …
[PDF][PDF] Journal of Stochastic Analysis
L Accardi, YG Lu - Emergence, 2020 - academia.edu
After briefly mentioning some achievements of quantum probability during the past 20 years,
we concentrate our attention on the emergence of natural extensions of usual quantum …
we concentrate our attention on the emergence of natural extensions of usual quantum …