Experimental Performance of a Quantum Simulator: Optimizing Adiabatic Evolution and Identifying Many-Body Ground States
Quantum Physics
2013-09-02 v1
Abstract
We use local adiabatic evolution to experimentally create and determine the ground state spin ordering of a fully-connected Ising model with up to 14 spins. Local adiabatic evolution -- in which the system evolution rate is a function of the instantaneous energy gap -- is found to maximize the ground state probability compared with other adiabatic methods while only requiring knowledge of the lowest of the Hamiltonian eigenvalues. We also demonstrate that the ground state ordering can be experimentally identified as the most probable of all possible spin configurations, even when the evolution is highly non-adiabatic.
Cite
@article{arxiv.1305.2253,
title = {Experimental Performance of a Quantum Simulator: Optimizing Adiabatic Evolution and Identifying Many-Body Ground States},
author = {Philip Richerme and Crystal Senko and Jacob Smith and Aaron Lee and Simcha Korenblit and Christopher Monroe},
journal= {arXiv preprint arXiv:1305.2253},
year = {2013}
}