Orateur
Description
Quantum circuits can efficiently simulate the dynamics of many-body quantum systems. A special class, known as integrable quantum circuits, is distinguished by an infinite set of commuting conserved charges that constrain dynamics and can enable the analytical computation of correlation functions. Central questions in statistical physics and integrability include: Is a given circuit integrable? And how can we systematically construct them?
In this talk, I will address these questions in the context of Yang-Baxter integrable models, considering both open and periodic boundary conditions. The presentation is structured in three parts: 1) I will begin with a brief review of Yang-Baxter integrability and its link to quantum circuits; 2) I will present an efficient algorithm to detect Yang-Baxter integrability in quantum circuits and extend this approach beyond Yang-Baxter integrability for circuits with periodic boundary conditions; and 3) I will focus on two open problems: the detection of integrability beyond Yang-Baxter for circuits with open boundary conditions, and the detection of integrability in the quantum KP model.
Based on 2503.04673 (with U. Duh, B. Pozsgay, L. Zadnik), 2603.25424 (with T. Prosen), 2607.02093 with A. L. Retore, M. G. Fernández and an ongoing work with A. Torrielli.