544 research outputs found

    A crystal theoretic method for finding rigged configurations from paths

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    The Kerov--Kirillov--Reshetikhin (KKR) bijection gives one to one correspondences between the set of highest paths and the set of rigged configurations. In this paper, we give a crystal theoretic reformulation of the KKR map from the paths to rigged configurations, using the combinatorial R and energy functions. This formalism provides tool for analysis of the periodic box-ball systems.Comment: 24 pages, version for publicatio

    Entanglement Cost of Three-Level Antisymmetric States

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    We show that the entanglement cost of the three-dimensional antisymmetric states is one ebit.Comment: 8page

    Bethe ansatz at q=0 and periodic box-ball systems

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    A class of periodic soliton cellular automata is introduced associated with crystals of non-exceptional quantum affine algebras. Based on the Bethe ansatz at q=0, we propose explicit formulas for the dynamical period and the size of certain orbits under the time evolution in A^{(1)}_n case.Comment: 12 pages, Introduction expanded, Summary added and minor modifications mad

    "Squashed Entanglement" - An Additive Entanglement Measure

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    In this paper, we present a new entanglement monotone for bipartite quantum states. Its definition is inspired by the so-called intrinsic information of classical cryptography and is given by the halved minimum quantum conditional mutual information over all tripartite state extensions. We derive certain properties of the new measure which we call "squashed entanglement": it is a lower bound on entanglement of formation and an upper bound on distillable entanglement. Furthermore, it is convex, additive on tensor products, and superadditive in general. Continuity in the state is the only property of our entanglement measure which we cannot provide a proof for. We present some evidence, however, that our quantity has this property, the strongest indication being a conjectured Fannes type inequality for the conditional von Neumann entropy. This inequality is proved in the classical case.Comment: 8 pages, revtex4. v2 has some more references and a bit more discussion, v3 continuity discussion extended, typos correcte

    Monogamy of entanglement and other correlations

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    It has been observed by numerous authors that a quantum system being entangled with another one limits its possible entanglement with a third system: this has been dubbed the "monogamous nature of entanglement". In this paper we present a simple identity which captures the trade-off between entanglement and classical correlation, which can be used to derive rigorous monogamy relations. We also prove various other trade-offs of a monogamy nature for other entanglement measures and secret and total correlation measures.Comment: 7 pages, revtex

    An Experimental Study of Bolted Shear Connections

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    DOT-FH-11-8900A large experimental program which involved approximately 700 tests was used to develop statistically reliable slip loads for bolted shear connections with coated contact surfaces. Four different painting systems were evaluated for use in friction-type connections. Variables included in the study were paint thickness, size of hole, type of steel, and magnitude of clamping force. An efficient and reliable slip test setup was developed to complete the research. Additional creep and fatigue tests on bolted butt splices were used to evaluate the suitability of the painting systems for bridges. Some large bolted connections were tested to evaluate the applicability of the single fastener slip test to multi-bolt connections. Ultimate load tests to determine the effect of undeveloped fillers on bolt shear strength and the interaction between bolt shearing stress and plate tensile stress are reported
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