Search Results for author: I. Luchnikov

Found 2 papers, 1 papers with code

Riemannian geometry and automatic differentiation for optimization problems of quantum physics and quantum technologies

1 code implementation2 Jul 2020 I. Luchnikov, M. Krechetov, S. Filippov

Optimization with constraints is a typical problem in quantum physics and quantum information science that becomes especially challenging for high-dimensional systems and complex architectures like tensor networks.

Quantum Physics Computational Physics

Variational autoencoder reconstruction of complex many-body physics

no code implementations9 Oct 2019 I. Luchnikov, A. Ryzhov, P. -J. C. Stas, S. N. Filippov, H. Ouerdane

We show with the paradigmatic quantum Ising model in a transverse magnetic field, that the ground-state physics, such as, e. g., magnetization and other mean values of observables, of a whole class of quantum many-body systems can be reconstructed by using VAE learning of tomographic data, for different parameters of the Hamiltonian, and even if the system undergoes a quantum phase transition.

Quantum Physics Statistical Mechanics

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