Zeno Toffano
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View article: Eigenlogic and Probabilistic Inference; when Bayes meets Born
Eigenlogic and Probabilistic Inference; when Bayes meets Born Open
This paper shows how inference is treated within the context of Eigenlogic projection operators in linear algebra. In Eigenlogic operators represent logical connectives, their eigenvalues the truth-values and the associated eigenvectors th…
View article: Geometric Algebra Jordan–Wigner Transformation for Quantum Simulation
Geometric Algebra Jordan–Wigner Transformation for Quantum Simulation Open
Quantum simulation qubit models of electronic Hamiltonians rely on specific transformations in order to take into account the fermionic permutation properties of electrons. These transformations (principally the Jordan–Wigner transformatio…
View article: Quantum semantics of text perception
Quantum semantics of text perception Open
The paper presents quantum model of subjective text perception based on binary cognitive distinctions corresponding to words of natural language. The result of perception is quantum cognitive state represented by vector in the qubit Hilber…
View article: Quantum Entanglement and the Lorentz Group
Quantum Entanglement and the Lorentz Group Open
The Lorentz metric represented by the diagonal matrix G = diag(1,-1,-1,-1) acts on Minkowski space-time quadrivectors. In the language of Quantum Information the operator G can be viewed as an entangling gate this because it acts in a simi…
View article: Adapting Logic to Physics: The Quantum-Like Eigenlogic Program
Adapting Logic to Physics: The Quantum-Like Eigenlogic Program Open
Considering links between logic and physics is important because of the fast development of quantum information technologies in our everyday life. This paper discusses a new method in logic inspired from quantum theory using operators, nam…
View article: Quantum eigenlogic observables applied to the study of fuzzy behaviour of Braitenberg vehicle quantum robots
Quantum eigenlogic observables applied to the study of fuzzy behaviour of Braitenberg vehicle quantum robots Open
Purpose The purpose of this paper is to apply the quantum “eigenlogic” formulation to behavioural analysis. Agents, represented by Braitenberg vehicles, are investigated in the context of the quantum robot paradigm. The agents are processe…
View article: Quantum Semantic Correlations in Hate and Non-Hate Speeches
Quantum Semantic Correlations in Hate and Non-Hate Speeches Open
This paper aims to apply the notions of quantum geometry and correlation to the typification of semantic relations between couples of keywords in different documents. In particular we analysed texts classified as hate / non hate speeches, …
View article: Interpolating Binary and Multivalued Logical Quantum Gates
Interpolating Binary and Multivalued Logical Quantum Gates Open
A method for synthesizing quantum gates is presented based on interpolation methods applied to operators in Hilbert space. Starting from the diagonal forms of specific generating seed operators with non-degenerate eigenvalue spectrum one o…
View article: Concept of Information Laser: from Quantum Theory to Behavioral Dynamics
Concept of Information Laser: from Quantum Theory to Behavioral Dynamics Open
International audience
View article: Eigenlogic: Interpretable Quantum Observables with applications to Fuzzy Behavior of Vehicular Robots
Eigenlogic: Interpretable Quantum Observables with applications to Fuzzy Behavior of Vehicular Robots Open
This work proposes a formulation of propositional logic, named Eigenlogic, using quantum observables as propositions. The eigenvalues of these operators are the truth-values and the associated eigenvectors the interpretations of the propos…
View article: Interpolation Methods for Binary and Multivalued Logical Quantum Gate Synthesis
Interpolation Methods for Binary and Multivalued Logical Quantum Gate Synthesis Open
International audience
View article: Interpolation Methods for Binary and Multivalued Logical Quantum Gate Synthesis
Interpolation Methods for Binary and Multivalued Logical Quantum Gate Synthesis Open
A method for synthesizing quantum gates is presented based on interpolation methods applied to operators in Hilbert space. Starting from the diagonal forms of specific generating seed operators with non-degenerate eigenvalue spectrum one o…
View article: Quantum Observables for Binary, Multi-Valued and Fuzzy Logic : Eigenlogic
Quantum Observables for Binary, Multi-Valued and Fuzzy Logic : Eigenlogic Open
International audience
View article: Eigenlogic: a Quantum View for Multiple-Valued and Fuzzy Systems
Eigenlogic: a Quantum View for Multiple-Valued and Fuzzy Systems Open
We propose a matrix model for two- and many-valued logic using families of observables in Hilbert space, the eigenvalues give the truth values of logical propositions where the atomic input proposition cases are represented by the respecti…
View article: Logical Families of Nonlocal Boxes
Logical Families of Nonlocal Boxes Open
In this paper, we will study the behavior of nonlocal boxes and non-signaling boxes by calculating a Bell Inequalities (BI) for all possible logical combinations of inputs and outputs. We have considered the case of equal number n of input…
View article: Entanglement and semantics : application to language processing
Entanglement and semantics : application to language processing Open
International audience