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Quantum Optimization Quantum Simulation

Improving nonstoquastic quantum annealing with spin-reversal transformations

arXiv
Authors: Eleni Marina Lykiardopoulou, Alex Zucca, Sam A. Scivier, Mohammad H. Amin

Year

2020

Paper ID

20292

Status

Preprint

Abstract Read

~2 min

Abstract Words

87

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • Nonstoquastic Hamiltonians are hard to simulate due to the sign problem in quantum Monte Carlo simulation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2010.00065 [2] arXiv https://arxiv.org/abs/2010.00065 [3] Publisher https://arxiv.org/abs/2010.00065

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