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Theory of variational quantum simulation [PDF]
Quantum, 2019 The variational method is a versatile tool for classical simulation of a variety of quantum systems. Great efforts have recently been devoted to its extension to quantum computing for efficiently solving static many-body problems and simulating real and ...
Xiao Yuan +4 more
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The Variational Method of Moments [PDF]
Journal of the Royal Statistical Society Series B: Statistical Methodology, 2020 The conditional moment problem is a powerful formulation for describing structural causal parameters in terms of observables, a prominent example being instrumental variable regression.
Andrew Bennett, Nathan Kallus
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IEEE Access, 2016 This paper discusses a novel conceptual formulation of the fractional-order Euler-Lagrange equation for the fractional-order variational method, which is based on the fractional-order extremum method. In particular, the reverse incremental optimal search
Yi-Fei Pu
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Proof of the Variational Principle for a Pair Hamiltonian Boson Model [PDF]
arXiv, 2006 We give a two parameter variational formula for the grand-canonical pressure of the Pair Boson Hamiltonian model.
Pulé, Joseph V., Zagrebnov, Valentin
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A Convex Constraint Variational Method for Restoring Blurred Images in the Presence of Alpha-Stable Noises [PDF]
Sensors, 2018 Blurred image restoration poses a great challenge under the non-Gaussian noise environments in various communication systems. In order to restore images from blur and alpha-stable noise while also preserving their edges, this paper proposes a variational
Zhenzhen Yang, Zhen Yang, Guan Gui
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Metric Methods in Calculus of Variations [PDF]
Proceedings of the National Academy of Sciences, 1937 1. In each problem of calculus of variations there are four fundamental data: (I) A point-space S or a domain of a point-space. (II) A function φ from which there is derived a functional in a class P of entities of S whose dimensions are ≧ 1. With each element C of & there is associated a number, say λ>φ,(C), by a process of integration of ϕ along C ...
Karl Menger
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Mean photon number dependent variational method to the Rabi model [PDF]
New Journal of Physics, 2015 We present a mean photon number dependent variational method, which works well in the whole coupling regime if the photon energy is dominant over the spin-flipping, to evaluate the properties of the Rabi model for both the ground state and excited states.
Maoxin Liu +3 more
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A Note on Variational Methods [PDF]
Proceedings of the American Mathematical Society, 1964 In this note a new development of the variational method due to G. M. Golusin will be given. The Golusin variational method, found in Geometrische Funktionentheorie [1, pp. 96-105], is established there only after rather lengthy and tedious considerations. Below, the interior variational formula of M. M.
J. T. Poole
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Desimal, 2021 The variational homotopy perturbation method is developed by combining variational iteration method and homotopy perturbation method. Variational iteration method has an efficient process in solving a wide variety of equations and systems of equations ...
Atika Faradilla +3 more
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Variational Estimation Methods for Sturm–Liouville Problems
Mathematics, 2022 In this paper, we are concerned with approach solutions for Sturm–Liouville problems (SLP) using variational problem (VP) formulation of regular SLP.
Elena Corina Cipu, Cosmin Dănuţ Barbu
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