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@ARTICLE{Mehta:904992,
author = {Mehta, Vrinda and Jin, Fengping and De Raedt, Hans and
Michielsen, Kristel},
title = {{Q}uantum annealing with trigger {H}amiltonians:
{A}pplication to 2-satisfiability and nonstoquastic
problems},
journal = {Physical review / A},
volume = {104},
number = {3},
issn = {2469-9926},
address = {Woodbury, NY},
publisher = {Inst.},
reportid = {FZJ-2022-00303},
pages = {032421},
year = {2021},
abstract = {We study the performance of quantum annealing for two sets
of problems, namely, 2-satisfiability (2-SAT)problems
represented by Ising-type Hamiltonians, and nonstoquastic
problems which are obtained by addingextra couplings to the
2-SAT problem Hamiltonians. In addition, we add to the
transverse Ising-type Hamiltonianused for quantum annealing
a third term, the trigger Hamiltonian with ferromagnetic or
antiferromagneticcouplings, which vanishes at the beginning
and end of the annealing process. We also analyze some
probleminstances using the energy spectrum, average energy
or overlap of the state during the evolution with the
instantaneouslow lying eigenstates of the Hamiltonian, and
identify some nonadiabatic mechanisms which canenhance the
performance of quantum annealing.},
cin = {JSC},
ddc = {530},
cid = {I:(DE-Juel1)JSC-20090406},
pnm = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
(SDLs) and Research Groups (POF4-511)},
pid = {G:(DE-HGF)POF4-5111},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000704064500003},
doi = {10.1103/PhysRevA.104.032421},
url = {https://juser.fz-juelich.de/record/904992},
}