Approximating Ground States by Neural Network Quantum States

Abstract

Motivated by the Carleo’s work [Science, 2017, 355: 602], we focus on finding the neural network quantum statesapproximation of the unknown ground state of a given Hamiltonian H in terms of the best relative error and explore the influences of sum, tensor product, local unitary of Hamiltonians on the best relative error. Besides, we illustrate our method with some examples.

Keywords

• approximation
• ground state
• neural network quantum state