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Floquet Hamiltonian engineering of an isolated many-body spin system [PDF]
Science, 2021 Description Shaping the Hamiltonian Ultracold atoms have proven to be a versatile setting for simulating more complicated quantum systems. However, the type of the simulated Hamiltonian usually cannot be changed once the system has been engineered ...
Sebastian Geier +2 more
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Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order [PDF]
Physical Review Letters, 2019 We present the amplitude for classical scattering of gravitationally interacting massive scalars at third post-Minkowskian order. Our approach harnesses powerful tools from the modern amplitudes program such as generalized unitarity and the double-copy ...
Clifford Cheung +2 more
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Exploring Entanglement and Optimization within the Hamiltonian Variational Ansatz [PDF]
PRX Quantum, 2020 Quantum variational algorithms are one of the most promising applications of near-term quantum computers; however, recent studies have demonstrated that unless the variational quantum circuits are configured in a problem-specific manner, optimization of ...
Cunlu Zhou
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Combinatorial optimization by simulating adiabatic bifurcations in nonlinear Hamiltonian systems
Science Advances, 2019 Nonlinear Hamiltonian systems search optimal solutions exploiting their adiabatic and chaotic evolutions. Combinatorial optimization problems are ubiquitous but difficult to solve.
Hayato Goto +2 more
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Riemann Manifold Langevin and Hamiltonian Monte Carlo Methods
Journal of the Royal Statistical Society Series B: Statistical Methodology, 2011 Summary. The paper proposes Metropolis adjusted Langevin and Hamiltonian Monte Carlo sampling methods defined on the Riemann manifold to resolve the shortcomings of existing Monte Carlo algorithms when sampling from target densities that may be high ...
Mark Girolami, Ben Calderhead
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Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
Living Reviews in Relativity, 2018 Hamiltonian formalisms provide powerful tools for the computation of approximate analytic solutions of the Einstein field equations. The post-Newtonian computations of the explicit analytic dynamics and motion of compact binaries are discussed within the
Piotr Jaranowski
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Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices [PDF]
Physical Review Letters, 2013 We demonstrate the experimental implementation of an optical lattice that allows for the generation of large homogeneous and tunable artificial magnetic fields with ultracold atoms.
Monika Aidelsburger +2 more
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Deep-learning density functional theory Hamiltonian for efficient ab initio electronic-structure calculation [PDF]
Nature Computational Science, 2021 The marriage of density functional theory (DFT) and deep-learning methods has the potential to revolutionize modern computational materials science. Here we develop a deep neural network approach to represent the DFT Hamiltonian (DeepH) of crystalline ...
He Li +7 more
semanticscholar +1 more source
Hamiltonian purification [PDF]
Journal of Mathematical Physics, 2015 The problem of Hamiltonian purification introduced by Burgarth et al. [Nat. Commun. 5, 5173 (2014)] is formalized and discussed. Specifically, given a set of non-commuting Hamiltonians {h1, …, hm} operating on a d-dimensional quantum system ℋd, the problem consists in identifying a set of commuting Hamiltonians {H1, …, Hm} operating on a larger dE ...
Davide Orsucci +6 more
openaire +3 more sources
Hamiltonian Simulation by Qubitization [PDF]
Quantum, 2016 We present the problem of approximating the time-evolution operatore−iH^tto errorϵ, where the HamiltonianH^=(⟨G|⊗I^)U^(|G⟩⊗I^)is the projection of a unitary oracleU^onto the state|G⟩created by another unitary oracle.
G. Low, I. Chuang
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