10 found
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  1. Characterizing Common Cause Closedness of Quantum Probability Theories.Yuichiro Kitajima & Miklós Rédei - unknown
    We prove new results on common cause closedness of quantum probability spaces, where by a quantum probability space is meant the projection lattice of a non-commutative von Neumann algebra together with a countably additive probability measure on the lattice. Common cause closedness is the feature that for every correlation between a pair of commuting projections there exists in the lattice a third projection commuting with both of the correlated projections and which is a Reichenbachian common cause of the correlation. The (...)
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  2.  20
    Imperfect Cloning Operations in Algebraic Quantum Theory.Yuichiro Kitajima - 2015 - Foundations of Physics 45 (1):62-74.
    No-cloning theorem says that there is no unitary operation that makes perfect clones of non-orthogonal quantum states. The objective of the present paper is to examine whether an imperfect cloning operation exists or not in a C*-algebraic framework. We define a universal \ -imperfect cloning operation which tolerates a finite loss \ of fidelity in the cloned state, and show that an individual system’s algebra of observables is abelian if and only if there is a universal \ -imperfect cloning operation (...)
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  3.  26
    On the Problem of Hidden Variables in Algebraic Quantum Field Theory.Yuichiro Kitajima - 2006 - Annals of the Japan Association for Philosophy of Science 15 (1):25-38.
  4.  30
    EPR States and Bell Correlated States in Algebraic Quantum Field Theory.Yuichiro Kitajima - 2013 - Foundations of Physics 43 (10):1182-1192.
    A mathematical rigorous definition of EPR states has been introduced by Arens and Varadarajan for finite dimensional systems, and extended by Werner to general systems. In the present paper we follow a definition of EPR states due to Werner. Then we show that an EPR state for incommensurable pairs is Bell correlated, and that the set of EPR states for incommensurable pairs is norm dense between two strictly space-like separated regions in algebraic quantum field theory.
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  5.  83
    Reconstructing Bohr's Reply to EPR in Algebraic Quantum Theory.Masanao Ozawa & Yuichiro Kitajima - 2012 - Foundations of Physics 42 (4):475-487.
    Halvorson and Clifton have given a mathematical reconstruction of Bohr’s reply to Einstein, Podolsky and Rosen (EPR), and argued that this reply is dictated by the two requirements of classicality and objectivity for the description of experimental data, by proving consistency between their objectivity requirement and a contextualized version of the EPR reality criterion which had been introduced by Howard in his earlier analysis of Bohr’s reply. In the present paper, we generalize the above consistency theorem, with a rather elementary (...)
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  6.  6
    Contextuality in Algebraic Quantum Theory代数的量子論における文脈依存性.Yuichiro Kitajima - 2018 - Journal of the Japan Association for Philosophy of Science 45 (1-2):23-34.
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  7.  12
    An Interpretation of Algebraic Quantum Field Theory From a Semirealistic Point of View (Issues in the Philosophy of Quantum Mechanics (1)).Yuichiro Kitajima - 2009 - Annals of the Japan Association for Philosophy of Science 17:47-53.
  8.  12
    On Bell's Inequalities in Faithful Normal States.Yuichiro Kitajima - 2007 - Journal of the Japan Association for Philosophy of Science 34 (1):21-28.
  9.  2
    Causation and Intervention in Algebraic Quantum Field Theory.Yuichiro Kitajima - 2010 - Journal of the Japan Association for Philosophy of Science 38 (1):9-15.
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  10.  1
    Reality, Nonlocality, and Measurement in Quantum Mechanics -.Yuichiro Kitajima - 2015 - Kagaku Tetsugaku 48 (1):49-64.
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