431 research outputs found

    Superdense Coding with GHZ and Quantum Key Distribution with W in the ZX-calculus

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    Quantum entanglement is a key resource in many quantum protocols, such as quantum teleportation and quantum cryptography. Yet entanglement makes protocols presented in Dirac notation difficult to verify. This is why Coecke and Duncan have introduced a diagrammatic language for quantum protocols, called the ZX-calculus. This diagrammatic notation is both intuitive and formally rigorous. It is a simple, graphical, high level language that emphasises the composition of systems and naturally captures the essentials of quantum mechanics. In the author's MSc thesis it has been shown for over 25 quantum protocols that the ZX-calculus provides a relatively easy and more intuitive presentation. Moreover, the author embarked on the task to apply categorical quantum mechanics on quantum security; earlier works did not touch anything but Bennett and Brassard's quantum key distribution protocol, BB84. Superdense coding with the Greenberger-Horne-Zeilinger state and quantum key distribution with the W-state are presented in the ZX-calculus in this paper

    On-top pair-correlation function in the homogeneous electron liquid

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    The ladder theory, in which the Bethe-Goldstone equation for the effective potential between two scattering particles plays a central role, is well known for its satisfactory description of the short-range correlations in the homogeneous electron liquid. By solving exactly the Bethe-Goldstone equation in the limit of large transfer momentum between two scattering particles, we obtain accurate results for the on-top pair-correlation function g(0), in both three dimensions and two dimensions. Furthermore, we prove, in general, that the ladder theory satisfies the cusp condition for the pair-correlation function g(r) at zero distance r=0.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000235009500047&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Physics, Condensed MatterSCI(E)8ARTICLE3null7

    Improved fifth-order geometric aberration coeincients of electron lenses

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    In this paper, fifth-order geometric aberrations of round electron lenses have been restudied. Improved analytical formulae of the aberration coefficients were derived by the computer algebra software-Mathematica-and their correctness verified by cross-checking with numerical integration and differential algebraic techniques for a given electromagnetic lens.Physics, AppliedSCI(E)EI3ARTICLE5653-6593

    Long-wavelength behavior of the dynamical spin-resolved local-field factor in a two-dimensional electron liquid

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    The high-frequency limits of the singular component A(omega) of the small wave-vector expansion of the longitudinal (L) and transverse (T) components of the spin-resolved exchange-correlation kernel tensor f(xc,sigmasigma)('L,T)(q,omega)=-v(q)G(sigmasigma)('L,T)(q,omega) in a two-dimensional isotropic electron liquid with arbitrary spin polarization are studied. Here G(sigmasigma)('L,T)(q,omega) is the spin-resolved local-field factor, v(q) is the Coulomb interaction in momentum space, and sigma denotes spin. Particularly, the real part of A(omega) is found to be logarithmically divergent at large omega. The large wave-vector structure of the corresponding spin-resolved static structure factor is also established.Physics, Condensed MatterSCI(E)1ARTICLE23null7

    Research on the impact of air-blowing on aerodynamic drag reduction and wake characteristics of a high-speed maglev train

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    Author name used in this publication: 车正鑫Author name used in this publication: 陈争卫Author name used in this publication: 倪一清Author name used in this publication: 黄莎Author name used in this publication: 李志伟202407 bcchVersion of RecordRGCPublishedVoR allowe

    APFIM AND FEM STUDY OF MO-LA ALLOY WIRE

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    Physics, MultidisciplinarySCI(E)0ARTICLEC-6283-2864

    A STUDY OF MINIATURIZED ELECTROSTATIC OCTUPOLE DEFLECTORS

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    In this paper the computer simulation and the computational results of miniaturized electrostatic octupole deflectors have been presented. It has been shown that both axial and azimuthal fringing effects must be taken into account for such deflectors with small length-to-radius ratio. The axial fringing effects make deflection sensitivity higher, have no effects on deflection coma and chromatism coefficients, and change the behaviors of deflection field curvature, astigmatism, and distortion coefficients for the round-lens-type aberrations. The azimuthal fringing effects decrease deflection sensitivity but hardly affect any round-lens-type deflection aberration coefficients. For miniaturized electrostatic octupole deflectors the computational results also show that four-fold deflection coma, astigmatism, and distortion are all extremly small and can be completely neglected.Instruments & InstrumentationNuclear Science & TechnologyPhysics, Particles & FieldsSpectroscopySCI(E)

    Meeting the Kyoto targets: the importance of developing country participation

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    This paper investigates the implications of progressively broadening the scope of the market of tradable permits from no emissions trading to full global trading. We start with the no emissions trading case where each Annex I country must individually meet its Kyoto targets. Next, we consider a case where trading of emissions permits is limited to Annex I countries only. We then expand the scope of the market to include all the non-Annex I countries but China. Finally, to investigate the role China plays in bringing down Annex I countries' compliance costs, we further broaden the market to include China into full global trading. Our results clearly demonstrate that the gain of the OECD as a whole increases as the market expands. Our results also show that developing countries themselves benefit from such an expansion too because it not only provides them for additional financial resources, but also helps to cut their baseline carbon emissions by a big margin. By contrast, the former Soviet Union tends to become worse off as the market expands. The potential conflict of interest between the former Soviet Union and developing countries underlines the importance of establishing clear rules of procedure about admitting new entrants before emissions trading begins. Furthermore, our results show that China is expected to emerge as the world's number one host country for clean development mechanism projects, but to materialise such benefits, China faces great challenges in institutional setting and implementation strategy. (C) 2004 Society for Policy Modeling. Published by Elsevier Inc. All rights reserved.EconomicsCPCI-SSH(ISSHP)SSCI2

    On the nature of the lightest scalar resonances

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    We briefly review the recent progresses in the new unitarization approach being developed by us. Especially we discuss the large N-c pi pi scatterings by making use of the partial wave S matrix parametrization form. We find that the a pole may move to the negative real axis on the second sheet of the complex s plane, therefore it raises the interesting question that this 'sigma' pole may be related to the sigma in the linear sigma model.Physics, NuclearCPCI-S(ISTP)

    On W. Gordon’s integral (1929) and related identities

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    Analytic evaluation of Gordon's integral Jj(±p)c(b,b′;λ,w,z)=∫∞0xc+j−1e−λx1F1(b;c;wx)1F1(b′;c±p;zx)dx, are given along with convergence conditions. It shows enormous number of definite integrals, frequently appear in theoretical and mathematical physics applications, easily deduced from this generalized integral
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