English

Thermal state preparation of the SYK model using a variational quantum algorithm

Quantum Physics 2024-10-22 v2 High Energy Physics - Lattice High Energy Physics - Theory

Abstract

We study the preparation of thermal states of the dense and sparse Sachdev-Ye-Kitaev (SYK) model using a variational quantum algorithm for 6N126 \le N \le 12 Majorana fermions over a wide range of temperatures. Utilizing IBM's 127-qubit quantum processor, we perform benchmark computations for the dense SYK model with N=6N = 6, showing good agreement with exact results. The preparation of thermal states of a non-local random Hamiltonian with all-to-all coupling using the simulator and quantum hardware represents a significant step toward future computations of thermal out-of-time order correlators in quantum many-body systems.

Keywords

Cite

@article{arxiv.2406.15545,
  title  = {Thermal state preparation of the SYK model using a variational quantum algorithm},
  author = {Jack Y. Araz and Raghav G. Jha and Felix Ringer and Bharath Sambasivam},
  journal= {arXiv preprint arXiv:2406.15545},
  year   = {2024}
}

Comments

14+$\epsilon$ pages with figures. v2: Fixed typos

R2 v1 2026-06-28T17:15:26.316Z