TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.1.003
TI  - Exact spin correlators of integrable quantum circuits from algebraic geometry
PY  - 2025/07/01
UR  - https://scipost.org/SciPostPhys.19.1.003
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 1
SP  - 003
A1  - Hutsalyuk, Arthur
AU  - Jiang, Yunfeng
AU  - Pozsgay, Balázs
AU  - Xu, Hefeng
AU  - Zhang, Yang
AB  - We calculate the correlation functions of strings of spin operators for integrable quantum circuits exactly. These observables can be used for the calibration of quantum simulation platforms. We use the algebraic Bethe Ansatz, in combination with computational algebraic geometry, to obtain analytic results for medium-size (around 10-20 qubits) quantum circuits. The results are rational functions of the quantum circuit parameters. We obtain analytic results for such correlation functions both in the real space and Fourier space. In the real space, we analyze the short time and long time limits of the correlation functions. In Fourier space, we obtain analytic results in different parameter regimes, which exhibit qualitatively different behaviors. Using these analytic results, one can easily generate numerical data to arbitrary precision.
ER  -

@Article{10.21468/SciPostPhys.19.1.003,
	title={{Exact spin correlators of integrable quantum circuits from algebraic geometry}},
	author={Arthur Hutsalyuk and Yunfeng Jiang and Balazs Pozsgay and Hefeng Xu and Yang Zhang},
	journal={SciPost Phys.},
	volume={19},
	pages={003},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.1.003},
	url={https://scipost.org/10.21468/SciPostPhys.19.1.003},
}