135 citations · 459 across the 15 of their papers we have counts for
15 papers
Rapidly mixing loop representation quantum Monte Carlo for Heisenberg models on star-like bipartite graphs
Jun Takahashi, Sam Slezak, Elizabeth Crosson
Quantum Monte Carlo (QMC) methods have proven invaluable in condensed matter physics, particularly for studying ground states and thermal equilibrium properties of quantum Hamilton…
Spectral Analysis of Product Formulas for Quantum Simulation
Changhao Yi, Elizabeth Crosson
We consider Hamiltonian simulation using the first order Lie-Trotter product formula under the assumption that the initial state has a high overlap with an energy eigenstate, or a…
Prospects for Quantum Enhancement with Diabatic Quantum Annealing
E. J. Crosson, D. A. Lidar
We assess the prospects for algorithms within the general framework of quantum annealing (QA) to achieve a quantum speedup relative to classical state of the art methods in combina…
De-Signing Hamiltonians for Quantum Adiabatic Optimization
Elizabeth Crosson, Tameem Albash, Itay Hen +1
Quantum fluctuations driven by non-stoquastic Hamiltonians have been conjectured to be an important and perhaps essential missing ingredient for achieving a quantum advantage with…
Classical Simulation of High Temperature Quantum Ising Models
Elizabeth Crosson, Samuel Slezak
We consider generalized quantum Ising models, including those which could describe disordered materials or quantum annealers, and we prove that for all temperatures above a system-…
Rapid mixing of path integral Monte Carlo for 1D stoquastic Hamiltonians
Elizabeth Crosson, Aram W. Harrow
Path integral quantum Monte Carlo (PIMC) is a method for estimating thermal equilibrium properties of stoquastic quantum spin systems by sampling from a classical Gibbs distributio…