Simulating Hamiltonian Dynamics with a Truncated Taylor Series by Berry, Dominic W., Childs, Andrew M., Cleve, Richard, Kothari, Robin, Somma, Rolando D.

“…We describe a simple, efficient method for simulating Hamiltonian dynamics on a quantum computer by approximating the truncated Taylor series of the evolution operator. …”
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Integral geometry, Hamiltonian dynamics, and Markov Chain Monte Carlo by Mangoubi, Oren (Oren Rami)

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Anisotropic Gaussian mutations for metropolis light transport through Hessian-Hamiltonian dynamics by Lehtinen, Jaakko, Ramamoorthi, Ravi, Jakob, Wenzel, Li, Tzu-Mao, Durand, Frederic

“…Instead, we use ideas from Hamiltonian Monte-Carlo and simulate the Hamiltonian dynamics in a flipped version of the Taylor expansion where gravity pulls particles towards the high-contribution region. …”
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8.962 General Relativity, Spring 2002 by Bertschinger, Edmund W.

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Mathematical Tools for Discontinuous Dynamical Systems by Billingsley, Matthew Ryan

“…Using this nonsmooth formulation of Hamiltonian dynamics, a new Hamiltonian Monte Carlo method is developed for systems with nonsmooth target probability densities. …”
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Quantum Computation and Simulation using Fermion Pair Registers by Sun, Xiangkai

“…In addition, we present a sample-efficient protocol to characterize engineered gates and Hamiltonian dynamics by improving classical shadow process tomography to require minimal experimental controls. …”
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Covariant phase space with boundaries by Harlow, Daniel L., Wu, Jie-qiang

“…The covariant phase space method of Iyer, Lee, Wald, and Zoupas gives an elegant way to understand the Hamiltonian dynamics of Lagrangian field theories without breaking covariance. …”
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Quantum information processing in continuous time by Childs, Andrew MacGregor, 1977-

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Uniqueness of Gibbs measures for continuous hardcore models by Gamarnik, David, Ramanan, Kavita

“…In each case the proof entails the analysis of an associated Hamiltonian dynamical system that describes a certain limit of the marginal distribution at a node. …”
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