MA-hardness of Geometrically Local Stoquastic Hamiltonians

titleMA-hardness of Geometrically Local Stoquastic Hamiltonians
start_date2023/10/10
schedule11h
onlineno
location_infoSalle 3052
summaryThe Local Hamiltonian problem for stoquastic local Hamiltonians (those that avoid the sign problem) is shown to be StoqMA-complete when the interactions are algebraically local. Moreover, the problem becomes MA-complete if the Hamiltonian is also frustration-free. In this work, we extend these results, proving the hardness of the problem for Hamiltonians that are geometrically local on 1D and 2D lattices, with only nearest neighbour interactions between qudits.
responsiblesHamoudi