11 found
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  1.  12
    Quantum Information, Cognition, and Music.Maria L. Dalla Chiara, Roberto Giuntini, Roberto Leporini, Eleonora Negri & Giuseppe Sergioli - 2015 - Frontiers in Psychology 6.
  2.  14
    Towards a Multi Target Quantum Computational Logic.Giuseppe Sergioli - 2020 - Foundations of Science 25 (1):87-104.
    Unlike the standard Quantum Computational Logic, where the carrier of information is conventionally assumed to be only the last qubit over a sequence of many qubits, here we propose an extended version of the QCL where the number and the position of the target qubits are arbitrary.
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  3.  13
    Quantum Computation and Logic: How Quantum Computers Have Inspired Logical Investigations.Giuseppe Sergioli, Roberto Leporini, Roberto Giuntini & Maria Dalla Chiara - 2018 - Cham, Switzerland: Springer Verlag.
    This book provides a general survey of the main concepts, questions and results that have been developed in the recent interactions between quantum information, quantum computation and logic. Divided into 10 chapters, the books starts with an introduction of the main concepts of the quantum-theoretic formalism used in quantum information. It then gives a synthetic presentation of the main “mathematical characters” of the quantum computational game: qubits, quregisters, mixtures of quregisters, quantum logical gates. Next, the book investigates the puzzling entanglement-phenomena (...)
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  4.  22
    Pattern Recognition in Non-Kolmogorovian Structures.Federico Holik, Giuseppe Sergioli, Hector Freytes & Angelo Plastino - 2018 - Foundations of Science 23 (1):119-132.
    We present a generalization of the problem of pattern recognition to arbitrary probabilistic models. This version deals with the problem of recognizing an individual pattern among a family of different species or classes of objects which obey probabilistic laws which do not comply with Kolmogorov’s axioms. We show that such a scenario accommodates many important examples, and in particular, we provide a rigorous definition of the classical and the quantum pattern recognition problems, respectively. Our framework allows for the introduction of (...)
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  5.  37
    The Algebraic Structure of an Approximately Universal System of Quantum Computational Gates.Maria Luisa Dalla Chiara, Roberto Giuntini, Hector Freytes, Antonio Ledda & Giuseppe Sergioli - 2009 - Foundations of Physics 39 (6):559-572.
    Shi and Aharonov have shown that the Toffoli gate and the Hadamard gate give rise to an approximately universal set of quantum computational gates. We study the basic algebraic properties of this system by introducing the notion of Shi-Aharonov quantum computational structure. We show that the quotient of this structure is isomorphic to a structure based on a particular set of complex numbers $\end{document} and radius \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\frac{1}{2}$\end{document} ).
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  6. Entanglement as a Semantic Resource.Maria Luisa Dalla Chiara, Roberto Giuntini, Antonio Ledda, Roberto Leporini & Giuseppe Sergioli - 2010 - Foundations of Physics 40 (9-10):1494-1518.
    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 logics are new forms of quantum logic that have been suggested by the theory of quantum logical gates in quantum computation. In the standard semantics of these logics, sentences denote quantum information quantities: systems of qubits (quregisters) or, more generally, mixtures of quregisters (qumixes), while logical connectives are interpreted as special (...)
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  7. Fallacious Analogical Reasoning and the Metaphoric Fallacy to a Deductive Inference (MFDI).Claudio Ternullo & Giuseppe Sergioli - 2014 - Isonomia (Epistemologica) 5:159-178.
    In this article, we address fallacious analogical reasoning and the Metaphoric Fallacy to a Deductive Inference (MFDI), recently discussed by B. Lightbody and M. Berman (2010). We claim that the authors’ proposal to introduce a new fallacy is only partly justified. We also argue that, in some relevant cases, fallacious analogical reasoning involving metaphors is only affected by the use of quaternio terminorum.
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  8. Counting Steps: A Finitist Interpretation of Objective Probability in Physics.Amit Hagar & Giuseppe Sergioli - 2015 - Epistemologia 37 (2):262-275.
    We propose a new interpretation of objective deterministic chances in statistical physics based on physical computational complexity. This notion applies to a single physical system (be it an experimental set--up in the lab, or a subsystem of the universe), and quantifies (1) the difficulty to realize a physical state given another, (2) the 'distance' (in terms of physical resources) from a physical state to another, and (3) the size of the set of time--complexity functions that are compatible with the physical (...)
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  9.  20
    Introduction: Logical Pluralism and Translation.Francesca Ervas, Antonio Ledda, Francesco Paoli & Giuseppe Sergioli - 2019 - Topoi 38 (2):263-264.
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  10.  39
    The Toffoli-Hadamard Gate System: An Algebraic Approach.Maria Luisa Dalla Chiara, Antonio Ledda, Giuseppe Sergioli & Roberto Giuntini - 2013 - Journal of Philosophical Logic 42 (3):467-481.
    Shi and Aharonov have shown that the Toffoli gate and the Hadamard gate give rise to an approximately universal set of quantum computational gates. The basic algebraic properties of this system have been studied in Dalla Chiara et al. (Foundations of Physics 39(6):559–572, 2009), where we have introduced the notion of Shi-Aharonov quantum computational structure. In this paper we propose an algebraic abstraction from the Hilbert-space quantum computational structures, by introducing the notion of Toffoli-Hadamard algebra. From an intuitive point of (...)
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  11.  2
    Representing N-Ary Relations in the Semantic Web.Marco Giunti, Giuseppe Sergioli, Giuliano Vivanet & Simone Pinna - forthcoming - Logic Journal of the IGPL.
    Knowledge representation is a central issue for Artificial Intelligence and the Semantic Web. In particular, the problem of representing n-ary relations in RDF-based languages such as RDFS or OWL by no means is an obvious one. With respect to previous attempts, we show why the solutions proposed by the well known W3C Working Group Note on n-ary relations are not satisfactory on several scores. We then present our abstract model for representing n-ary relations as directed labeled graphs, and we show (...)
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