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arXiv · 1612.04785

Quantum Monte Carlo simulation of a particular class of non-stoquastic Hamiltonians in quantum annealing

Masayuki Ohzeki
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Abstract

Quantum annealing is a generic solver of the optimization problem that uses fictitious quantum fluctuation. Its simulation in classical computing is often performed using the quantum Monte Carlo simulation via the Suzuki--Trotter decomposition. However, the negative sign problem sometimes emerges in the simulation of quantum annealing with an elaborate driver Hamiltonian, since it belongs to a class of non-stoquastic Hamiltonians. In the present study, we propose an alternative way to avoid the negative sign problem involved in a particular class of the non-stoquastic Hamiltonians. To check the validity of the method, we demonstrate our method by applying it to a simple problem that includes the anti-ferromagnetic XX interaction, which is a typical instance of the non-stoquastic Hamiltonians.

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Masayuki Ohzeki. 2016-12-14. Quantum Monte Carlo simulation of a particular class of non-stoquastic Hamiltonians in quantum annealing. https://arxiv.org/abs/1612.04785

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