Year: 2020
Type: article
Abstract: We show how a quantum computer may efficiently simulate a disordered Hamiltonian, by incorporating a pseudo-random-number generator directly into the time evolution circuit. This technique is applied to quantum simulation of few-body disordered systems in the large volume limit, in particular, Anderson localization. The method requires a number of (error corrected) qubits proportional to the logarithm of the volume of the system, and each time evolution step requires a number of gates polylogarithmic in the volume. We simulate the method to observe the metal-insulator transition on a three-dimensional lattice. Additionally, we demonstrate the algorithm on a one-dimensional lattice, using physical quantum processors.
Source: Physical Review A
Authors: Andrei Alexandru, Paulo F. Bedaque, Scott Lawrence
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Funder: U.S. Department of Energy
OpenAlex ID: W2990407535