01243nas a2200181 4500008004100000245012700041210006900168260001400237490000700251520064800258100002100906700001900927700001700946700001500963700002200978700002401000856003701024 2013 eng d00aExperimental Performance of a Quantum Simulator: Optimizing Adiabatic Evolution and Identifying Many-Body Ground States
0 aExperimental Performance of a Quantum Simulator Optimizing Adiab c2013/7/310 v883 a 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 $\sim N$ of the $2^N$ 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.
1 aRicherme, Philip1 aSenko, Crystal1 aSmith, Jacob1 aLee, Aaron1 aKorenblit, Simcha1 aMonroe, Christopher uhttp://arxiv.org/abs/1305.2253v1