6,704 research outputs found

    How different can h-cobordant manifolds be?

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    We study the homeomorphism types of manifolds h-cobordant to a fixed one. Our investigation is partly motivated by the notion of special manifolds introduced by Milnor in his study of lens spaces. In particular we revisit and clarify some of the claims concerning h-cobordisms of these manifolds.Comment: 16 pages. Typo corrected and reference adde

    QUANTITATIVE ANALYSIS OF SLIDE STEP DELIVERY IN HIGH SCHOOL BASEBALL PITCHERS

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    The purpose of this study was to quantify the kinetics, kinematics, and segmental sequentiallity during the slide step pitching motion in high school baseball pitchers. Eighteen participants [16.2 + 1.6 yrs; 76.9 + 12.2 kg; 178.2 + 7.2 cm] volunteered to participate. Kinematic data describing the kinematics and kinetics during the slide step pitching delivery were collected with an electromagnetic tracking system via the MotionMonitorTM and calculated as per ISB recommendations. Data were described at foot contact, maximum external shoulder rotation, ball release, and maximum internal shoulder rotation during the slide step delivery

    Distillation of GHZ states by selective information manipulation

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    Methods for distilling maximally entangled tripartite (GHZ) states from arbitrary entangled tripartite pure states are described. These techniques work for virtually any input state. Each technique has two stages which we call primary and secondary distillation. Primary distillation produces a GHZ state with some probability, so that when applied to an ensemble of systems, a certain percentage is discarded. Secondary distillation produces further GHZs from the discarded systems. These protocols are developed with the help of an approach to quantum information theory based on absolutely selective information, which has other potential applications.Comment: minor corrections, especially of some numerical values; conclusions unaffecte

    Eigenstate thermalization on average

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    A Twisted Dimer Model for Knots

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    We develop a dimer model for the Alexander polynomial of a knot. This recovers Kauffman\u27s state sum model for the Alexander polynomial using the language of dimers. By providing some additional structure we are able to extend this model to give a state sum formula for the twisted Alexander polynomial of a knot depending on a representation of the knot group

    A reduced set of moves on one-vertex ribbon graphs coming from links

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    Every link in R^3 can be represented by a one-vertex ribbon graph. We prove a Markov type theorem on this subset of link diagrams.Comment: 14 pages, 15 figure

    Probing Decoherence with Electromagnetically Induced Transparency in Superconductive Quantum Circuits

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    Superconductive quantum circuits (SQCs) comprise quantized energy levels that may be coupled via microwave electromagnetic fields. Described in this way, one may draw a close analogy to atoms with internal (electronic) levels coupled by laser light fields. In this Letter, we present a superconductive analog to electromagnetically induced transparency (S-EIT) that utilizes SQC designs of present day experimental consideration. We discuss how S-EIT can be used to establish macroscopic coherence in such systems and, thereby, utilized as a sensitive probe of decoherence.Comment: 5 pages, 3 figure
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