Search results for: quantum contextuality - Bridge of Knowledge

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Search results for: quantum contextuality

Search results for: quantum contextuality

  • Quantifying Contextuality

    Publication
    • A. Grudka
    • K. Horodecki
    • M. Horodecki
    • P. Horodecki
    • R. Horodecki
    • P. Joshi
    • W. Kłobus
    • A. Wójcik

    - PHYSICAL REVIEW LETTERS - Year 2014

    Contextuality is central to both the foundations of quantum theory and to the novel information processing tasks. Despite some recent proposals, it still faces a fundamental problem: how to quantify its presence? In this work, we provide a universal framework for quantifying contextuality. We conduct two complementary approaches: (i) the bottom-up approach, where we introduce a communication game, which grasps the phenomenon of...

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  • Necessary and Sufficient Condition for State-Independent Contextual Measurement Scenarios

    Publication

    - PHYSICAL REVIEW LETTERS - Year 2014

    The problem of identifying measurement scenarios capable of revealing state-independent contextuality in a given Hilbert space dimension is considered. We begin by showing that for any given dimension d and any measurement scenario consisting of projective measurements, (i) the measure of contextuality of a quantum state is entirely determined by its spectrum, so that pure and maximally mixed states represent the two extremes...

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  • Quantum structure in competing lizard communities

    Publication

    - ECOLOGICAL MODELLING - Year 2014

    Almost two decades of research on applications of the mathematical formalism of quantum theory as a modeling tool in domains different from the micro-world has given rise to many successful applications in situations related to human behavior and thought, more specifically in cognitive processes of decision-making and the ways concepts are combined into sentences. In this article, we extend this approach to animal behavior, showing...

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  • Linear game non-contextuality and Bell inequalities—a graph-theoretic approach

    Publication

    - NEW JOURNAL OF PHYSICS - Year 2016

    We study the classical and quantum values of a class of one-and two-party unique games, that generalizes the well-known XOR games to the case of non-binary outcomes. In the bipartite case the generalized XOR(XOR-d) games we study are a subclass of the well-known linear games. We introduce a 'constraint graph' associated to such a game, with the constraints defining the game represented by an edge-coloring of the graph. We use the...

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