55 Result(s)
within
Maria Luisa Dalla Chiara
-
Article
A Quantum-inspired Approach to Pattern Recognition and Machine Learning. Part I
How are abstract concepts formed and recognized on the basis of a previous experience? It is interesting to compare the behavior of human minds and of artificial intelligences with respect to this problem. Genera...
-
Article
A Quantum Approach to Pattern Recognition and Machine Learning. Part II
Different classifier functions can be defined in the framework of a quantum approach to machine learning. While the fidelity-classifier is based on a measure of similarity between quantum states, other classifier...
-
Chapter
Recognizing Concepts and Recognizing Musical Themes
How are abstract concepts and musical themes recognized on the basis of some previous experience? It is interesting to compare the different behaviors of human and of artificial intelligences with respect to t...
-
Chapter
From Qubits to Qudits
In spite of their strongly non-classical features, quantum computational logics include a subtheory that behaves classically, both from the logical and from the computational point of view. The holistic quantu...
-
Chapter
Ambiguity in Natural and Artistic Languages: A Quantum Semantic Analysis
The quantum computational semantics can be naturally applied to fields (far apart from microphysics) where ambiguity, vagueness, holism, and contextuality play an essential role. On this basis one can develop a g...
-
Chapter
Quantum Information in the Foundational and Philosophical Debates About Quantum Theory
Researches in the field of quantum information and quantum computation have naturally stimulated new debates about foundational and philosophical problems of quantum theory. “Information interpretations” accor...
-
Chapter
Pieces of Quantum Information and Quantum Logical Gates
The basic idea of quantum computer theory is that computations can be performed by some quantum systems that evolve in time. Accordingly, by applying Schrodinger’s equation, it is natural to assume that quantu...
-
Chapter
From Quantum Circuits to Quantum Computational Logics
The theory of quantum logical circuits has naturally inspired new forms of quantum logic that have been termed quantum computational logics. From a semantic point of view, any formula of the language of a quantum...
-
Chapter
Mathematical Survey
This chapter is devoted to a survey of the definitions for the basic mathematical concepts used in this book. We will first define the algebraic concepts that play an important role in the quantum-theoretic fo...
-
Chapter
The Mathematical Environment of Quantum Information
The general idea that inspires all approaches to quantum computation is that information can be stored and transmitted by quantum physical systems. Thus, the quantum-theoretic formalism represents the natural ...
-
Chapter
Entanglement: Mystery and Resource
Entanglement represents one the basic features of quantum theory, which has for a long time been described as “mysterious” and “potentially paradoxical”. Although the term “entanglement” was not explicitly used...
-
Chapter
Individuals, Quantifiers and Epistemic Operators
The intrinsic informational content that characterizes quantum computational logics has naturally inspired some interesting and intriguing epistemic problems. We investigate the possibility of a quantum computati...
-
Chapter
What Exactly Are Quantum Computations? Classical and Quantum Turing Machines
After Feynman’s pioneering work, the abstract mathematical model for quantum computers has been often represented in terms of the notion of quantum Turing machine (the quantum counterpart of the classical notion ...
-
Article
Preface
-
Article
A quantum-like semantic analysis of ambiguity in music
Is it possible and interesting to analyze ambiguity in music by means of logical methods? We give a positive answer to this question in the framework of an abstract semantics suggested by the theory of quantum...
-
Article
A Quantum Computational Semantics for Epistemic Logical Operators. Part I: Epistemic Structures
Some critical open problems of epistemic logics can be investigated in the framework of a quantum computational approach. The basic idea is to interpret sentences like “Alice knows that Bob does not understand...
-
Article
A Quantum Computational Semantics for Epistemic Logical Operators. Part II: Semantics
By using the abstract structures investigated in the first Part of this article, we develop a semantics for an epistemic language, which expresses sentences like “Alice knows that Bob does not understand that π i...
-
Article
Quantum teleportation and quantum epistemic semantics
Quantum information gives rise to some puzzling epistemic problems that can be interestingly investigated from a logical point of view. A characteristic example is represented by teleportation phenomena, where...
-
Article
Entanglement as a Semantic Resource
The characteristic holistic features of the quantum theoretic formalism and the intriguing notion of entanglement can be applied to a field that is far from microphysics: logical semantics. Quantum computational ...
-
Article
Uncertainties
In contemporary science uncertainty is often represented as an intrinsic feature of natural and of human phenomena. As an example we need only think of two important conceptual revolutions that occurred in physic...
