Quantifying the properties of evolutionary quantum states of the XXZ spin model using quantum computing

TL;DR

This paper investigates the entanglement and evolution speed of two-spin systems in the XXZ model, combining analytical methods and quantum computing to quantify their properties and validate theoretical predictions.

Contribution

It provides the first analytical and computational analysis of entanglement distance and evolution speed dependence on model parameters in the XXZ spin system.

Findings

Analytical dependence of entanglement distance on coupling constants and initial states.

Explicit relation between evolution speed and system parameters.

Quantum computations agree with theoretical predictions.

Abstract

The entanglement distance of evolutionary quantum states of a two-spin system with the XXZ model has been studied. The analysis has been conducted both analytically and using quantum computing. An analytical dependence of the entanglement distance on the values of the model coupling constants and the parameters of the initial states has been obtained. The speed of evolution of a two-spin system has been investigated. The analysis has been performed analytically and using quantum computing. An explicit dependence of the speed of evolution on the coupling constants and on the parameters of the initial state has been obtained. The results of quantum computations are in good agreement with the theoretical predictions.