Universal Effectiveness of High-Depth Circuits in Variational Eigenproblems

Autor:	Kim, Joonho, Kim, Jaedeok, Rosa, Dario
Rok vydání:	2020
Předmět:	Quantum Physics Condensed Matter - Strongly Correlated Electrons Computer Science - Machine Learning High Energy Physics - Theory
Zdroj:	Phys. Rev. Research 3, 023203 (2021)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevResearch.3.023203
Popis:	We explore the effectiveness of variational quantum circuits in simulating the ground states of quantum many-body Hamiltonians. We show that generic high-depth circuits, performing a sequence of layer unitaries of the same form, can accurately approximate the desired states. We demonstrate their universal success by using two Hamiltonian systems with very different properties: the transverse field Ising model and the Sachdev-Ye-Kitaev model. The energy landscape of the high-depth circuits has a proper structure for the gradient-based optimization, i.e. the presence of local extrema -- near any random initial points -- reaching the ground level energy. We further test the circuit's capability of replicating random quantum states by minimizing the Euclidean distance. Comment: v1: revtex4-1, 14 pages, 11 figures; v2: 13 pages, revised for journal submission
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2010.00157 Zobrazit plný text záznamu View this record from Arxiv