# Matrix Model simulations using Quantum Computing, Deep Learning, and Lattice Monte Carlo

Enrico Rinaldi,
Xizhi Han,
Mohammad Hassan,
Yuan Feng,
Franco Nori,
Michael McGuigan,
Masanori Hanada

Aug 2021

### Abstract

Matrix quantum mechanics plays various important roles in theoretical physics, such as a holographic description of quantum black holes. Understanding quantum black holes and the role of entanglement in a holographic setup is of paramount importance for the development of better quantum algorithms (quantum error correction codes) and for the realization of a quantum theory of gravity. Quantum computing and deep learning offer us potentially useful approaches to study the dynamics of matrix quantum mechanics. In this paper we perform a systematic survey for quantum computing and deep learning approaches to matrix quantum mechanics, comparing them to Lattice Monte Carlo simulations. In particular, we test the performance of each method by calculating the low-energy spectrum

Publication

PRX Quantum 3, 010324, 2022

###### Research Scientist

My research interests include artificial intelligence and quantum computing applied to particle physics and quantum many-body systems.