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  1. What is Shannon information?Olimpia Lombardi, Federico Holik & Leonardo Vanni - 2016 - Synthese 193 (7):1983-2012.
    Despite of its formal precision and its great many applications, Shannon’s theory still offers an active terrain of debate when the interpretation of its main concepts is the task at issue. In this article we try to analyze certain points that still remain obscure or matter of discussion, and whose elucidation contribute to the assessment of the different interpretative proposals about the concept of information. In particular, we argue for a pluralist position, according to which the different views about information (...)
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  2. Q-spaces and the Foundations of Quantum Mechanics.Graciela Domenech, Federico Holik & Décio Krause - 2008 - Foundations of Physics 38 (11):969-994.
    Our aim in this paper is to take quite seriously Heinz Post’s claim that the non-individuality and the indiscernibility of quantum objects should be introduced right at the start, and not made a posteriori by introducing symmetry conditions. Using a different mathematical framework, namely, quasi-set theory, we avoid working within a label-tensor-product-vector-space-formalism, to use Redhead and Teller’s words, and get a more intuitive way of dealing with the formalism of quantum mechanics, although the underlying logic should be modified. We build (...)
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  3.  48
    A Discussion on Particle Number and Quantum Indistinguishability.Graciela Domenech & Federico Holik - 2007 - Foundations of Physics 37 (6):855-878.
    The concept of individuality in quantum mechanics shows radical differences from the concept of individuality in classical physics, as E. Schrödinger pointed out in the early steps of the theory. Regarding this fact, some authors suggested that quantum mechanics does not possess its own language, and therefore, quantum indistinguishability is not incorporated in the theory from the beginning. Nevertheless, it is possible to represent the idea of quantum indistinguishability with a first-order language using quasiset theory (Q). In this work, we (...)
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  4.  40
    What is quantum information?Olimpia Lombardi, Federico Holik & Leonardo Vanni - 2016 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 56:17-26.
    In the present paper we develop different arguments to show that there are no reasons to consider that there exists quantum information as qualitatively different than Shannon information. There is only one kind of information, which can be coded by means of orthogonal or non-orthogonal states. The analogy between Shannon’s theory and Schumacher’s theory is confined to coding theorems. The attempt to extend the analogy beyond this original scope leads to a concept of quantum information that becomes indistinguishable from that (...)
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  5.  8
    Quasi-set theory: a formal approach to a quantum ontology of properties.Federico Holik, Juan Pablo Jorge, Décio Krause & Olimpia Lombardi - 2022 - Synthese 200 (5):1-26.
    In previous works, an ontology of properties for quantum mechanics has been proposed, according to which quantum systems are bundles of properties with no principle of individuality. The aim of the present article is to show that, since quasi-set theory is particularly suited for dealing with aggregates of items that do not belong to the traditional category of individual, it supplies an adequate meta-language to speak of the proposed ontology of properties and its structure.
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  6.  50
    A formal framework for the study of the notion of undefined particle number in quantum mechanics.Newton C. A. da Costa & Federico Holik - 2015 - Synthese 192 (2):505-523.
    It is usually stated that quantum mechanics presents problems with the identity of particles, the most radical position—supported by E. Schrödinger—asserting that elementary particles are not individuals. But the subject goes deeper, and it is even possible to obtain states with an undefined particle number. In this work we present a set theoretical framework for the description of undefined particle number states in quantum mechanics which provides a precise logical meaning for this notion. This construction goes in the line of (...)
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  7.  18
    A formal framework for the study of the notion of undefined particle number in quantum mechanics.Federico Holik & Newton C. A. da Costa - 2015 - Synthese 192 (2):505-523.
    It is usually stated that quantum mechanics presents problems with the identity of particles, the most radical position—supported by E. Schrödinger—asserting that elementary particles are not individuals. But the subject goes deeper, and it is even possible to obtain states with an undefined particle number. In this work we present a set theoretical framework for the description of undefined particle number states in quantum mechanics which provides a precise logical meaning for this notion. This construction goes in the line of (...)
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  8.  23
    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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  9.  68
    Contextuality and Indistinguishability.Acacio de Barros, Federico Holik & Décio Krause - 2017 - Entropy 19 ((9)):435.
    It is well known that in quantum mechanics we cannot always define consistently properties that are context independent. Many approaches exist to describe contextual properties, such as Contextuality by Default, sheaf theory, topos theory, and non-standard or signed probabilities. In this paper we propose a treatment of contextual properties that is specific to quantum mechanics, as it relies on the relationship between contextuality and indistinguishability. In particular, we propose that if we assume the ontological thesis that quantum particles or properties (...)
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  10.  4
    Non-unitary evolution of quantum logics.Sebastian Fortin, Federico Holik & Leonardo Vanni - 2016 - In F. Bagarello, R. Passante & C. Trapani (eds.), Non-Hermitian Hamiltonians in Quantum Physics. Springer Proceedings in Physics, vol 184. Springer, Cham. pp. 219-234.
    In this work we present a dynamical approach to quantum logics. By changing the standard formalism of quantum mechanics to allow non-Hermitian operators as generators of time evolution, we address the question of how can logics evolve in time. In this way, we describe formally how a non-Boolean algebra may become a Boolean one under certain conditions. We present some simple models which illustrate this transition and develop a new quantum logical formalism based in complex spectral resolutions, a notion that (...)
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  11.  82
    Logic, Geometry And Probability Theory.Federico Holik - 2013 - SOP Transactions On Theoretical Physics 1:128 - 137.
    We discuss the relationship between logic, geometry and probability theory under the light of a novel approach to quantum probabilities which generalizes the method developed by R. T. Cox to the quantum logical approach to physical theories.
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  12. Classical models for quantum information.Federico Holik & Gustavo Martin Bosyk - 2017 - In Olimpia Lombardi, Sebastian Fortin, Federico Holik & Cristian López (eds.), What is Quantum Information? Cambridge University Press.
     
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  13.  6
    What is Quantum Information?Olimpia Lombardi, Sebastian Fortin, Federico Holik & Cristian López (eds.) - 2017 - CUP.
    Combining physics and philosophy, this is a uniquely interdisciplinary examination of quantum information science. Suitable as both a discussion of the conceptual and philosophical problems of this field and a comprehensive stand-alone introduction, this book will benefit both experienced and new researchers in quantum information and the philosophy of physics.
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  14.  27
    Quantum Logical Structures For Identical Particles.Federico Holik, Krause Decio & Gómez Ignacio - 2016 - Cadernos de História E Filosofia da Ciéncia 2 (1):13-58.
    In this work we discuss logical structures related to indistinguishable particles. Most of the framework used to develop these structures was presented in [17, 28] and in [20, 14, 15, 16]. We use these structures and constructions to discuss possible ontologies for identical particles. In other words, we use these structures in order to characterize the logical structure of quantum systems for the case of indistinguishable particles, and draw possible philosophical implications. We also review some proposals available in the literature (...)
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  15. Prefacio.Décio Krause & Federico Holik - 2019 - Metatheoria – Revista de Filosofía E Historia de la Ciencia 9:1.
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  16.  13
    Classical limit and quantum logic.Marcelo Losada, Sebastian Fortin & Federico Holik - 2018 - International Journal of Theoretical Physics 57:465–475.
    The more common scheme to explain the classical limit of quantum mechanics includes decoherence, which removes from the state the interference terms classically inadmissible since embodying non-Booleanity. In this work we consider the classical limit from a logical viewpoint, as a quantum-to-Boolean transition. The aim is to open the door to a new study based on dynamical logics, that is, logics that change over time. In particular, we appeal to the notion of hybrid logics to describe semiclassical systems. Moreover, we (...)
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  17.  9
    On the interpretation of probabilities in generalized probabilistic models.Federico Holik, Sebastian Fortin, Gustavo Bosyk & Angelo Plastino - 2016 - In José Acacio de Barros, Bob Coecke & E. Pothos (eds.), Quantum Interaction. QI 2016. Lecture Notes in Computer Science, Vol. 10106. Springer, Cham. pp. 194-205.
    We discuss generalized pobabilistic models for which states not necessarily obey Kolmogorov's axioms of probability. We study the relationship between properties and probabilistic measures in this setting, and explore some possible interpretations of these measures.
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  18.  15
    A new conceptual scheme for the interpretation of the improper mixtures in quantum mechanics.Federico Holik, Christian de Ronde & Wim Christiaens - 2013 - Scientiae Studia 11 (1):101-118.
    En este artículo, analizamos el significado de las matrices densidad en el formalismo de la mecánica cuántica. Discutimos el problema de los "sistemas cuánticos compuestos" en la lógica cuántica así como también la interpretación de las mezclas impropias. Tomando en cuenta el desarrollo de la lógica cuántica convexa, presentamos un análisis de la estructura formal de la teoría que, argumentaremos, debe ser considerado a la hora de desarrollar un nuevo esquema conceptual para la interpretación de las mezclas cuánticas. In this (...)
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