# Aaron Szasz

My research focus is classical and quantum simulation of strongly correlated quantum systems, especially frustrated spin systems and spin liquids.

At LBL, I am part of the FAR-QC project (Fundamental Algorithmic Research for Quantum Computing), for which I am investigating quantum algorithms for studying many-body quantum problems. Some current projects: (1) finding the ground state and magnetization curve of a small kagome lattice spin system with real-time Krylov; (2) quantum compilation of isometries and applications to quantum channels; and (3) compression of classical functions as quantum states, using classical tensor networks and quantum circuits, with applications to solving differential equations.

I am also continuing my past work using the quantum-inspired approach of tensor networks. I am an expert on the application of DMRG, a powerful algorithm for finding quantum ground states, to 2D systems, including Hubbard models and frustrated higher-spin models. Please see especially my work on the triangular lattice Hubbard model, published in PRX.

Prior to joining LBL, I was a Postdoctoral Fellow at the Perimeter Institute for Theoretical Physics. Before that, I received my PhD in Physics from UC Berkeley in 2019.

In addition to my research, I enjoy teaching physics. Recordings are available online of my courses on numerical methods for condensed matter (advanced undergraduate level) and condensed matter (early graduate level).

## Education

PhD, Physics, UC Berkeley, 2019

AB, Physics and Mathematics, Harvard, 2012 (*Summa Cum Laude*)

## Publications

Y Shen, D Camps, S Darbha, **A Szasz**, K Klymko, D Williams-Young, N Tubman, R Van Beeumen,

"Estimating Eigenenergies from Quantum Dynamics: A Unified Noise-Resilient Measurement-Driven Approach,"

arXiv: 2306.01858

**Aaron Szasz**, Ed Younis, and Wibe de Jong,

"Numerical circuit synthesis and compilation for multi-state preparation,"

arXiv: 2305.01816

Yushao Chen, Yin-Chen He, and **Aaron Szasz**,

"Phase diagrams of spin-S Kitaev ladders,"

Physical Review B 108, 045124 (2023).

arXiv: 2211.02754

**Aaron Szasz**, Chong Wang, and Yin-Chen He,

"Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from density matrix renormalization group simulations,"

Physical Review B 106, 115103 (2022).

arXiv: 2206.04087

**Aaron Szasz** and Johannes Motruk,

"Phase diagram of the anisotropic triangular lattice Hubbard model,"

Physical Review B 103, 235132 (2021).

arXiv: 2101.07454

Philip Mocz and **Aaron Szasz**,

"Towards Cosmological Simulations of Dark Matter on Quantum Computers,"

The Astrophysical Journal 910, 29 (2021).

arXiv: 2101.05821

**Aaron Szasz**, Johannes Motruk, Michael P. Zaletel, and Joel E. Moore,

"Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study,"

Physical Review X 10, 021042 (2020).

arXiv: 1808.00463

**Aaron Szasz**,

"A measure of quantum correlations that lies between entanglement and discord,"

Physical Review A 99, 062313 (2019).

arXiv: 1810.12949

**Aaron Szasz**, Roni Ilan, and Joel E. Moore,

"Electrical and thermal transport in the quasiatomic limit of coupled Luttinger liquids,"

Physical Review B 95, 085122 (2017).

arXiv: 1611.00782