Griffiths-McCoy singularity on the diluted Chimera graph: Monte Carlo simulations and experiments on the quantum hardware

• URL: http://arxiv.org/abs/2006.16219v2
• Date: Wed, 14 Oct 2020 15:51:07 GMT
• Title: Griffiths-McCoy singularity on the diluted Chimera graph: Monte Carlo simulations and experiments on the quantum hardware
• Authors: Kohji Nishimura, Hidetoshi Nishimori, Helmut G. Katzgraber
• Abstract summary: Griffiths-McCoy singularity is a phenomenon characteristic of low-dimensional disordered quantum spin systems. Evidence is found for the existence of the Griffiths-McCoy singularity in the paramagnetic phase. This is the first experimental approach based on an analog quantum simulator to study the subtle phenomenon.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Griffiths-McCoy singularity is a phenomenon characteristic of low-dimensional disordered quantum spin systems, in which the magnetic susceptibility shows singular behavior as a function of the external field even within the paramagnetic phase. We study whether this phenomenon is observed in the transverse-field Ising model with disordered ferromagnetic interactions on the quasi-two-dimensional diluted Chimera graph both by quantum Monte Carlo simulations and by extensive experiments on the D-Wave quantum annealer used as a quantum simulator. From quantum Monte Carlo simulations, evidence is found for the existence of the Griffiths-McCoy singularity in the paramagnetic phase. The experimental approach on the quantum hardware produces results that are less clear-cut due to the intrinsic noise and errors in the analog quantum device but can nonetheless be interpreted to be consistent with the existence of the Griffiths-McCoy singularity as in the Monte Carlo case. This is the first experimental approach based on an analog quantum simulator to study the subtle phenomenon of Griffiths-McCoy singularities in a disordered quantum spin system, through which we have clarified the capabilities and limitations of the D-Wave quantum annealer as a quantum simulator.

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