Entangled state teleportation through a couple of quantum channels composed of XXZ dimers in an Ising-XXZ diamond chain

TL;DR

This paper investigates quantum teleportation of entangled states through infinite Ising-Heisenberg diamond chains with Heisenberg dimers, analyzing how system parameters affect teleportation fidelity and entanglement.

Contribution

It provides an analytical framework for understanding quantum teleportation in infinite chain models, including effects of magnetic fields, temperature, and coupling parameters.

Findings

Fidelity depends on coupling parameters, magnetic field, and temperature.

Successful teleportation regions are mapped in phase diagrams.

Output entanglement correlates with channel entanglement and fidelity.

Abstract

The quantum teleportation plays an important role in quantum information process, in this sense, the quantum entanglement properties involving an infinite chain structure is quite remarkable because real materials could be well represented by an infinite chain. We study the teleportation of an entangled state through a couple of quantum channels, composed by Heisenberg dimers in an infinite Ising-Heisenberg diamond chain, the couple of chains are considered sufciently far away from each other to be ignored the any interaction between them . To teleporting a couple of qubits through the quantum channel, we need to find the average density operator for Heisenberg spin dimers, which will be used as quantum channels. Assuming the input state as a pure state, we can apply the concept of fidelity as a useful measurement of teleportation performance of a quantum channel. Using the standard teleportation protocol, we have derived an analytical expression for the output concurrence, fidelity, and average fidelity. We study in detail the effects of coupling parameters, external magnetic field and temperature dependence of quantum teleportation. Finally, we explore the relations between entanglement of the quantum channel, the output entanglement and the average fidelity of the system. Through a kind of phase diagram as a function of Ising-Heisenberg diamond chain model parameters, we illustrate where the quantum teleportation will succeed and a region where the quantum teleportation could fail.