940 research outputs found

    Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics

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    In this paper, we consider a structurally damped elastic equation under hinged boundary conditions. Fully-discrete numerical approximation schemes are generated for the null controllability of these parabolic-like PDEs. We mainly use finite element method (FEM) and finite difference method (FDM) approximations to show that the null controllers being approximated via FEM and FDM exhibit exactly the same asymptotics of the associated minimal energy function. For this, we appeal to the theory originally given by R. Triggiani [20] for construction of null controllers of ODE systems. These null controllers are also amenable to our numerical implementation in which we discuss the aspects of FEM and FDM numerical approximations and compare both methodologies. We justify our theoretical results with the numerical experiments given for both approximation schemes

    Efficient decomposition of quantum gates

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    Optimal implementation of quantum gates is crucial for designing a quantum computer. We consider the matrix representation of an arbitrary multiqubit gate. By ordering the basis vectors using the Gray code, we construct the quantum circuit which is optimal in the sense of fully controlled single-qubit gates and yet is equivalent with the multiqubit gate. In the second step of the optimization, superfluous control bits are eliminated, which eventually results in a smaller total number of the elementary gates. In our scheme the number of controlled NOT gates is O(4n)O(4^n) which coincides with the theoretical lower bound.Comment: 4 pages, 2 figure

    Monte Carlo study of the Widom-Rowlinson fluid using cluster methods

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    The Widom-Rowlinson model of a fluid mixture is studied using a new cluster algorithm that is a generalization of the invaded cluster algorithm previously applied to Potts models. Our estimate of the critical exponents for the two-component fluid are consistent with the Ising universality class in two and three dimensions. We also present results for the three-component fluid.Comment: 13 pages RevTex and 2 Postscript figure

    The benefits of improved technologies in agricultural aviation

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    The results are present for a study of the economic benefits attributed to a variety of potential technological improvements in agricultural aviation. Part 1 gives a general description of the ag-air industry and discusses the information used in the data base to estimate the potential benefits from technological improvements. Part 2 presents the benefit estimates and provides a quantitative basis for the estimates in each area study. Part 3 is a bibliography of references relating to this study
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