Digital quantum simulation and Pseudoquantum Simulation of $\mathbb{Z}_2$ Gauge Higgs Model

• URL: http://arxiv.org/abs/2108.13410v2
• Date: Sun, 13 Mar 2022 05:45:56 GMT
• Title: Digital quantum simulation and Pseudoquantum Simulation of $\mathbb{Z}_2$ Gauge Higgs Model
• Authors: Yiming Ding, Xiaopeng Cui, Yu Shi
• Abstract summary: We present a quantum algorithm for digital quantum simulation of the $mathbbZ$ gauge-Higgs model on a $3times 3$ lattice. We perform a classical demonstration, dubbed a pseudoquantum simulation, on a GPU simulator. It is suggested that the tricitical point, where the second-order critical lines of deconfinement-confinement transition and of deconfinement-Higgs transition meet, seems to be on the the first-order critical line of confinement-Higgs transition.
• Score: 9.290265520840595
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a quantum algorithm for digital quantum simulation of the $\mathbb{Z}_2$ gauge-Higgs model on a $3\times 3$ lattice, which is based on Trotter decomposition, the quantum adiabatic algorithm and its circuit realization. Then we perform a classical demonstration, dubbed a pseudoquantum simulation, on a GPU simulator. We obtain useful results on this model, which suggest the topological properties of the deconfined phase and help to clarify the phase diagram. It is suggested that the tricitical point, where the second-order critical lines of deconfinement-confinement transition and of deconfinement-Higgs transition meet, seems to be on the the first-order critical line of confinement-Higgs transition, at a point other than the end of this critical line.

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