Related papers: Improving nonstoquastic quantum annealing with spin-reversal transformations

Improving nonstoquastic quantum annealing with spin-reversal transformations

URL: http://arxiv.org/abs/2010.00065v1
Date: Wed, 30 Sep 2020 19:13:04 GMT
Title: Improving nonstoquastic quantum annealing with spin-reversal transformations
Authors: Eleni Marina Lykiardopoulou, Alex Zucca, Sam A. Scivier, Mohammad H. Amin
Abstract summary: We show that a nonstoquastic Hamiltonian with YY-interaction can outperform stoquastic Hamiltonians with similar parameters. We introduce an optimization protocol to determine the optimal transformation and discuss the effect of suboptimality.
Score: 1.1470070927586014
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Nonstoquastic Hamiltonians are hard to simulate due to the sign problem in quantum Monte Carlo simulation. It is however unclear whether nonstoquasticity can lead to advantage in quantum annealing. Here we show that YY-interaction between the qubits makes the adiabatic path during quantum annealing, and therefore the performance, dependent on spin-reversal transformations. With the right choice of spin-reversal transformation, a nonstoquastic Hamiltonian with YY-interaction can outperform stoquastic Hamiltonians with similar parameters. We introduce an optimization protocol to determine the optimal transformation and discuss the effect of suboptimality.

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