Bethe Ansatz Solutions for Certain Periodic Quantum Circuits

TL;DR

This paper derives Bethe Ansatz equations for specific periodic quantum circuits, providing explicit spectral expressions that could aid in calibration and error mitigation in quantum computing platforms.

Contribution

It introduces Bethe Ansatz solutions for the XXZ and Chiral Hubbard models within quantum circuits, offering explicit spectral formulas for the first time.

Findings

Explicit Bethe Ansatz equations derived for XXZ and Chiral Hubbard models.

Spectral expressions obtained for strings of any length.

Potential applications in quantum platform calibration and error mitigation.

Abstract

I derived Bethe Ansatz equations for two model Periodic Quantum Circuits: 1) XXZ model; 2) Chiral Hubbard Model. I obtained explicit expressions for the spectra of the strings of any length. These analytic results may be useful for calibration and error mitigations in modern engineered quantum platforms.