Entanglement generation due to the Klein tunneling in a graphene sheet

Two-impurity entanglement generation by electron scattering in zigzag phosphorene nanoribbons

“…The Green function corresponding to the edge states in zPNR can be expressed in terms of the eigenstates |Ψ A k and eigenen- ergies E k , respectively given in Eqs. (18) and (19), aŝ…”

“…In a number of pervious studies in this field, adopting a free electron model, the entanglement generation created due to one-dimensional scattering of electrons from Kondo and Heisenberg impurities has been theoretically investigated [16][17][18]. Also, in one of these studies, it was shown that the Klein tunnel- * mo.soltani@sci.ui.ac.ir ing effect of the traveling electrons in a graphene sheet can leads to a correlation between the transmitted and the reflected electrons and also between the quantum-dot spin qubits fixed in the graphene nanoribbons [18]. However, the differences between the electronic spectrum of the graphene and phosphorene nanostructures can motivate development of such studies to nanostructures based on phosphorus.…”

“…One of the ways to this end is to use the scattering phenomena. In a number of pervious studies in this field, adopting a free electron model, the entanglement generation created due to one-dimensional scattering of electrons from Kondo and Heisenberg impurities has been theoretically investigated [16][17][18]. Also, in one of these studies, it was shown that the Klein tunnel-ing effect of the traveling electrons in a graphene sheet can leads to a correlation between the transmitted and the reflected electrons and also between the quantum-dot spin qubits fixed in the graphene nanoribbons [18].…”

Evaluating quantum entanglement generation in two‐dimensional graphene systems through lithium ion interactions: A DFT‐based study

“…5,[21][22][23][24][25][26][27][28][29][30][31][32][33][34] Furthermore, some studies have demonstrated the utilization of graphene sheets for entanglement generation. 5,[35][36][37][38] Motivated by the potential applications of entangled states and the ease of manipulation and fabrication of graphene-based systems, this study introduces a novel approach for generating entangled states between two graphene sheets mediated by the interaction with lithium ions. The lithium ion is strategically positioned equidistantly between the two graphene sheets.…”

“…Due to these potentialities, the generation of entangled states has also been the subject of intensive research, both experimental and theoretical 5,21–34 . Furthermore, some studies have demonstrated the utilization of graphene sheets for entanglement generation 5,35–38 . Specifically, in Reference 35 it was investigated what happens to noise cross‐correlations when a single layer of graphene replaces the normal metal or semiconductor, where the authors identified entanglement in graphene through the utilization of Andreev cross reflection.…”