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000904992 1001_ $$0P:(DE-Juel1)176997$$aMehta, Vrinda$$b0
000904992 245__ $$aQuantum annealing with trigger Hamiltonians: Application to 2-satisfiability and nonstoquastic problems
000904992 260__ $$aWoodbury, NY$$bInst.$$c2021
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000904992 520__ $$aWe 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.
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000904992 7001_ $$0P:(DE-Juel1)144355$$aJin, Fengping$$b1
000904992 7001_ $$0P:(DE-Juel1)179169$$aDe Raedt, Hans$$b2$$ufzj
000904992 7001_ $$0P:(DE-Juel1)138295$$aMichielsen, Kristel$$b3$$eCorresponding author
000904992 773__ $$0PERI:(DE-600)2844156-4$$a10.1103/PhysRevA.104.032421$$gVol. 104, no. 3, p. 032421$$n3$$p032421$$tPhysical review / A$$v104$$x2469-9926$$y2021
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