Action in Hamiltonian Models Constructed by Yang-Baxter Equation: Entanglement and Measures of Correlation

TL;DR

This paper explores how Yang-Baxter operations influence quantum entanglement and correlations in two-qubit systems, revealing methods to mitigate correlation loss in noisy environments for quantum information tasks.

Contribution

It introduces a quantum Yang-Baxterization approach to analyze and optimize entanglement dynamics under different Hamiltonians and initial states.

Findings

Yang-Baxter operations can mitigate correlation loss in noisy environments.

Optimal initial states enhance entanglement preservation.

Proper Yang-Baxterization enables better quantum information processing.

Abstract

By using the quantum Yang-Baxterization approach, we investigate the dynamics of quantum entanglement under the actions of different Hamiltonians on the different two-qubit input states and analyze the effects of the Yang-Baxter operations on it. During any quantum process that takes place in a noisy environment, quantum correlations display behavior that does not increase. We point out that for two-qubit systems subject to actions of different Yang-Baxter operations the loss of correlations can be mitigated by the appropriate choice of the initial states and the Yang-Baxterization process. We show that in a noisy environment it possible to create the optimal conditions for performing any quantum information task.