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

Autor:	Araz, Jack Y., Jha, Raghav G., Ringer, Felix, Sambasivam, Bharath
Rok vydání:	2024
Předmět:	Quantum Physics High Energy Physics - Lattice High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	We study the preparation of thermal states of the dense and sparse Sachdev-Ye-Kitaev (SYK) model using a variational quantum algorithm for $6 \le N \le 12$ 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 $N = 6$, 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. Comment: 14+$\epsilon$ pages with figures. v2: Fixed typos
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.15545 Zobrazit plný text záznamu View this record from Arxiv