Gaussian quadrature inference for multicarrier continuous-variable quantum key distribution [PDF]
Quantum Studies: Mathematics and Foundations, 2015 A multicarrier continuous-variable quantum key distribution (CVQKD) protocol utilizes Gaussian subcarrier quantum continuous variables (CV) for information transmission.
L. Gyongyosi
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Legendre wavelet method combined with the Gauss quadrature rule for numerical solution of fractional integro-differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 In this paper, we use a novel technique to solve the nonlinear fractional Volterra-Fredholm integro-differential equations (FVFIDEs). To this end, the Legendre wavelets are used in conjunction with the quadrature rule for converting the problem into a ...
M. Riahi Beni
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Computational Method for Optimal Guidance and Control Using Adaptive Gaussian Quadrature Collocation
Journal of Guidance Control and Dynamics, 2019 A method is described for computational optimal guidance and control using adaptive Gaussian quadrature collocation and sparse nonlinear programming.
Miriam E. Dennis, W. Hager, Anil V. Rao
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A bivariate longitudinal cluster model with application to the {C}ognitive {R}eflection {T}est [PDF]
Tutorials in Quantitative Methods for Psychology, 2022 The Cognitive Reflection Test (CRT) is a test designed to assess subjects' ability to override intuitively appealing but incorrect responses. Psychologists are concerned with whether subjects improve their scores on the test with repeated exposure, in ...
Berkowitz, Matthew +1 more
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Mode-division-multiplexing of multiple Bessel-Gaussian beams carrying orbital-angular-momentum for obstruction-tolerant free-space optical and millimetre-wave communication links [PDF]
, 2016 We experimentally investigate the potential of using ‘self-healing’ Bessel-Gaussian beams carrying orbital-angular-momentum to overcome limitations in obstructed free-space optical and 28-GHz millimetre-wave communication links. We multiplex and transmit
Ahmed, Nisar +15 more
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Orthogonal polynomials and generalized Gauss-Rys quadrature formulae
Kuwait Journal of Science, 2021 Orthogonal polynomials and the corresponding quadrature formulas of Gaussian type with respect to the even weight function $\omega^{\lambda}(t;x)=\exp(-x t^2)(1-t^2)^{\lambda-1/2}$ on $(-1,1)$, with parameters $\lambda>-1/2$ and $x>0$, are considered.
Gradimir Milovanovic, Nevena Vasovic ́
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Optimal Gaussian measurements for phase estimation in single-mode Gaussian metrology [PDF]
, 2019 The central issue in quantum parameter estimation is to find out the optimal measurement setup that leads to the ultimate lower bound of an estimation error.
Jeong, Hyunseok +6 more
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Gaussian quadrature rules and A-stability of Galerkin schemes for ODE
International Journal of Mathematics and Mathematical Sciences, 2003 The A-stability properties of continuous and discontinuous Galerkin methods for solving ordinary differential equations (ODEs) are established using properties of Legendre polynomials and Gaussian quadrature rules. The influence on the A-stability of the
Ali Bensebah +2 more
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Adaptive Quadrature Schemes for Bayesian Inference via Active Learning
IEEE Access, 2020 We propose novel adaptive quadrature schemes based on an active learning procedure. We consider an interpolative approach for building a surrogate posterior density, combining it with Monte Carlo sampling methods and other quadrature rules.
Fernando Llorente Fernandez +4 more
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Gaussian quadrature and lattice discretization of the Fermi-Dirac distribution for graphene. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2013 We construct a lattice kinetic scheme to study electronic flow in graphene. For this purpose, we first derive a basis of orthogonal polynomials, using as the weight function the ultrarelativistic Fermi-Dirac distribution at rest.
D. Oettinger, M. Mendoza, H. Herrmann
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