An efficient quantum algorithm for the time evolution of parameterized circuits [PDF]
We introduce a novel hybrid algorithm to simulate the real-time evolution of quantum systems using parameterized quantum circuits. The method, named "projected – Variational Quantum Dynamics" (p-VQD) realizes an iterative, global projection of the exact ...
Stefano Barison +2 more
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A Variational Principle for a Nonlinear Oscillator Arising in the Microelectromechanical System [PDF]
A nonlinear oscillator arising in the microelectromechanical system is complex and it is difficult to obtain a variational principle. This paper begins with a wrong variational formulation and uses the semi-inverse method to obtain a genuine variational ...
Ji-Huan He +2 more
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Unique extension of the maximum entropy principle to phase coexistence in heat conduction
The maximum entropy principle determines the values of thermodynamic variables in thermally isolated equilibrium systems. This paper extends the principle to a variational principle that applies to liquid–gas coexistence in heat conduction.
Naoko Nakagawa, Shin-ichi Sasa
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On Ekeland’s Variational Principle in Rectangular bmertic Spaces
Ekeland′s variational principle plays an important role in fixed point theory. It has applications in many fields such as optimization theory, control theory, critical point theory and others.
HUANG Shuai, CHEN Lili, LIU Xin
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Theory of variational quantum simulation [PDF]
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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Herglotz type conservation laws for nonconservative nonholonomic systems
The Herglotz variational principle offers an effective method for studying nonconservative system dynamics. The aim of this paper is to study the conservation laws of nonholonomic systems by using the Herglotz type generalized variational principle and ...
Xinchang Dong, Yi Zhang
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The Principle of Covariance and the Hamiltonian Formulation of General Relativity
The implications of the general covariance principle for the establishment of a Hamiltonian variational formulation of classical General Relativity are addressed.
Massimo Tessarotto, Claudio Cremaschini
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Gyarmati’s Variational Principle of Dissipative Processes
Like in mechanics and electrodynamics, the fundamental laws of the thermodynamics of dissipative processes can be compressed into Gyarmati’s variational principle. This variational principle both in its differential (local) and in integral (global) forms
József Verhás
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A generalized form of Ekeland’s variational principle
In this paper we prove a generalized version of the Ekeland variational principle, which is a common generalization of Zhong variational principle and Borwein Preiss Variational principle.
Farkas Csaba
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Gaussian time-dependent variational principle for the finite-temperature anharmonic lattice dynamics
The anharmonic lattice is a representative example of an interacting, bosonic, many-body system. The self-consistent harmonic approximation has proven versatile for the study of the equilibrium properties of anharmonic lattices.
Jae-Mo Lihm, Cheol-Hwan Park
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