Experimental realization of the Yang-Baxter Equation via NMR interferometry

TL;DR

This paper reports the first experimental implementation of the Yang-Baxter equation using NMR interferometry, demonstrating its validity and relevance to quantum information processing.

Contribution

It presents an experimental realization of the Yang-Baxter equation via NMR, linking theoretical physics with quantum information applications.

Findings

Successful implementation of the Yang-Baxter equation in NMR setup

Verification of the equation's validity through interferometry

Demonstration of quantum information protocol using controlled-transfer gates

Abstract

The Yang-Baxter equation is an important tool in theoretical physics, with many applications in different domains that span from condensed matter to string theory. Recently, the interest on the equation has increased due to its connection to quantum information processing. It has been shown that the Yang-Baxter equation is closely related to quantum entanglement and quantum computation. Therefore, owing to the broad relevance of this equation, besides theoretical studies, it also became significant to pursue its experimental implementation. Here, we show an experimental realization of the Yang-Baxter equation and verify its validity through a Nuclear Magnetic Resonance (NMR) interferometric setup. Our experiment was performed on a liquid state Iodotrifluoroethylene sample which contains molecules with three qubits. We use Controlled-transfer gates that allow us to build a pseudo-pure state from which we are able to apply a quantum information protocol that implements the Yang-Baxter equation.