129 research outputs found

    A classical groupoid model for quantum networks

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    We give a mathematical analysis of a new type of classical computer network architecture, intended as a model of a new technology that has recently been proposed in industry. Our approach is based on groubits, generalizations of classical bits based on groupoids. This network architecture allows the direct execution of a number of protocols that are usually associated with quantum networks, including teleportation, dense coding and secure key distribution

    A Classical Groupoid Model for Quantum Networks

    No full text
    We give a mathematical analysis of a new type of classical computer network architecture, intended as a model of a new technology that has recently been proposed in industry. Our approach is based on groubits, generalizations of classical bits based on groupoids. This network architecture allows the direct execution of a number of protocols that are usually associated with quantum networks, including teleportation, dense coding and secure key distribution

    Zooplankton of Western Lake Erie at Put-In-Bay: A Quantitative Study, April 1973 - March 1974

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    Author Institution: Center for Lake Erie Area Research, The Ohio State UniversityREUTTER, VERONICA M. AND JEFFREY M. REUTTER. Zooplankton of western Lake Erie at Put-in-Bay: a quantative study, April 1973-March 1974. Ohio J. Sci. 75(5): 256, 1975

    A 2-Categorical Approach to Composing Quantum Structures

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    We present an infinite number of construction schemes for quantum structures, including unitary error bases, Hadamard matrices, quantum Latin squares and controlled families, many of which have not previously been described. Our results rely on the type structure of biunitary connections, 2-categorical structures which play a central role in the theory of planar algebras. They have an attractive graphical calculus which allows simple correctness proofs for the constructions we present. We apply these techniques to construct a unitary error basis that cannot be built using any previously known method

    Climate protection in urban transport : six scenario studies in Germany ; more climate protection, fewer carbon dioxide emissions, less car traffic

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    Six German scenario studies on urban passenger transport for Munich 2058, Wuppertal 2050, Eastern Ruhr Region 2030, Tuebingen 2030, Cologne 2020 and Hanover Region 2020 investigate the key question: With which strategies and on what kind of scale, is it possible to reduce the carbon dioxide emissions of urban passenger transport to accomplish the 2 °C climate protection goal with a consequently huge reduction of greenhouse gas emissions by 80% to 95% by 2050 in relation to the base year 1990? The scenarios show that the major challenge of a "climate-friendly city transport" can be achieved by appropriate measures (regarding direction and scale): in small and medium-sized cities, large cities, cities of over a million people, and metropolitan regions. The scenarios demonstrate the extent to which the considered measures contribute to the CO2 reduction, and which gap to the achievement of the goal remains if that which is currently regarded as realistic in practice is really implemented in future. Thus, they illustrate the conflict between that which is necessary for climate protection and that which is currently considered feasible in politics. The scenarios show that it is essential to act quickly and appropriately, and not hesitantly or without conviction

    A European union and Canadian review of public health nursing preparation and practice.

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    This study explores the preparation and role of the public health nurse (PHN) across European Union (EU) countries (Finland, Sweden, and the United Kingdom) and Canadian provinces (Alberta, New Brunswick, and Prince Edward Island)

    Extension Theory and Fermionic Strongly Fusion 2-Categories (with an Appendix by Thibault Didier Décoppet and Theo Johnson-Freyd)

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    We study group-graded extensions of fusion 2-categories. As an application, we obtain a homotopy theoretic classification of fermionic strongly fusion 2-categories. We examine various examples in detail.I am particularly indebted to Theo Johnson-Freyd and David Reutter for sharing some of the ideas of their proof of the completely general version of group-graded extension theory, which have inspired our proof of Theorem 3.11, and to Matthew Yu for help with the cohomology computations of Section 4. I would also like to thank the referees for suggesting many invaluable improvements and clarifications. This work was supported in part by the Simons Collaboration on Global Categorical Symmetries

    Non compact (2+1)-TQFTs from non-semisimple spherical categories

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    10 pagesTo every spherical tensor category (in the sense of Etingof, Douglas et al.) we define a finite dimensional non-compact (2+1)-TQFT (a TQFT for short). More generally, we define a TQFT for every pivotal category with non-degenerate m-trace and chromatic morphism. The TQFT of closed surfaces are the admissible skein modules (given in a joint preprint of the first three authors) and the underlying invariants of closed 3-manifolds of the TQFT are the generalized (non-semisimple) Turaev-Viro type invariants defined in arXiv:1809.07991. We expect that our construction is related to the general universal non semi-simple TQFT announced by Kevin Walker and David Reutter

    Music in eighteenth-century Austria

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    The music of Haydn, Mozart and Beethoven forms a cornerstone of the modern repertoire, but very little is known about the context in which these composers worked. Beginning with the early decades of the eighteenth century, the essays in this volume consider some of the musical traditions and practices of this little understood period of music history. Four main areas are covered: orchestral music, sacred music, opera and keyboard music. Georg Reutter (Haydn's teacher), Antonio Salieri (Mozart's colleague) and Wölffl (a rival of Beethoven) are just three of the period's prominent musicians who are discussed at length

    Non compact (2+1)-TQFTs from non-semisimple spherical categories

    No full text
    10 pagesTo every spherical tensor category (in the sense of Etingof, Douglas et al.) we define a finite dimensional non-compact (2+1)-TQFT (a TQFT for short). More generally, we define a TQFT for every pivotal category with non-degenerate m-trace and chromatic morphism. The TQFT of closed surfaces are the admissible skein modules (given in a joint preprint of the first three authors) and the underlying invariants of closed 3-manifolds of the TQFT are the generalized (non-semisimple) Turaev-Viro type invariants defined in arXiv:1809.07991. We expect that our construction is related to the general universal non semi-simple TQFT announced by Kevin Walker and David Reutter
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