881 research outputs found

    P. Hall's strange formula for abelian p-groups

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    Picone identities for ordinary differential equations of fourth order

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    It is known that there are two kinds of Picone identities for fourth order ordinary differential equations. A new type of Picone identity is established, and Sturmian comparison theorems are derived

    Multiplexed quantum repeaters based on single-photon interference with mild stabilization

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    Quantum repeaters are pivotal in the physical layer of the quantum internet. For its development, quantum repeaters capable of efficient entanglement distribution are necessary. Quantum repeater schemes based on single-photon interference are promising due to their potential efficiency. However, schemes involving first-order interference with photon sources at distant nodes require stringent phase stability in the components, which poses challenges for long-distance implementation. In this paper, we present a quantum repeater scheme that leverages single-photon interference with reduced difficulty of phase stabilization. Additionally, under specific conditions, we demonstrate that our scheme achieves a higher entanglement distribution rate between end nodes compared to existing schemes. This approach, implementable using only feasible technologies including multimode quantum memories and two-photon sources, offers high entanglement distribution rates and mild phase stabilization, leading to the development of multimode quantum repeaters

    Generic transport coefficients of a confined electrolyte solution

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    Physical parameters characterising electrokinetic transport in a confined electrolyte solution are reconstructed from the generic transport coefficients obtained within the classical non-equilibrium statistical thermodynamic framework. The electro-osmotic flow, the diffusio-osmotic flow, the osmotic current, as well as the pressure-driven Poiseuille-type flow, the electric conduction, and the ion diffusion, are described by this set of transport coefficients. The reconstruction is demonstrated for an aqueous NaCl solution between two parallel charged surfaces with a nanoscale gap, by using the molecular dynamic (MD) simulations. A Green-Kubo approach is employed to evaluate the transport coefficients in the linear-response regime, and the fluxes induced by the pressure, electric, and chemical potential fields are compared with the results of non-equilibrium MD simulations. Using this numerical scheme, the influence of the salt concentration on the transport coefficients is investigated. Anomalous reversal of diffusio-osmotic current, as well as that of electro-osmotic flow, is observed at high surface charge densities and high added-salt concentrations.Comment: 6 pages with 6 figure

    The units of a partial Burnside ring relative to the Young subgroups of a symmetric group

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    The unit group of a partial Burnside ring relative to the Young subgroups of the symmetric group SnSn on n letters is included in the image by the tom Dieck homomorphism. As a consequence of this fact, the alternating character νnνn of SnSn is expressed explicitly as a ZZ-linear combinations of permutation characters associated with finite left SnSn-sets Sn/YSn/Y for the Young subgroups Y.Mathematics Subject Classification. Primary 19A22, Secondary 20B35; 20C15; 20C3

    A Study on Notes for International Trade of the Small and Medium-Sized Traders in Osaka

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    商学部創設100周年 商学会設立50周年 記念特
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