Entangled state teleportation through a couple of quantum channels composed ofXXZdimers in an Ising-XXZdiamond chain

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.

The Effects of an Impurity in an Ising‐XXZ Diamond Chain on Thermal Entanglement, on Quantum Coherence, and on Quantum Teleportation

“…In order to transmit the input state with better fidelity than any classical communication protocol, must be greater than 2/3. Taking into account the effects of an impurity on the fidelity of the entanglement teleportation, we compare it with that given in the original model . In Figure , we illustrate the density plot of the average fidelity as a function of and Δ, for the two fixed values of the magnetic field and , respectively.…”

“…Recently, the thermal quantum entanglement in some exactly solvable Ising–Heisenberg diamond chains have been analyzed and properly discussed . More recently, Rojas et al . discussed the entangled state teleportation through a couple of quantum channels composed of dimers in an Ising‐ diamond chain.…”

Quantum Fisher Information of a Teleported State in Heisenberg XYZ Chain With Magnetic Field and Kaplan–Shekhtman–Entin-Wohlman–Aharony Interaction

“…By doubling protocol T 0 , Lee and Kim have discussed a protocol to transmit an entangled two-qubit system [4]. Moreover, quantum teleportation is investigated using several channels as, thermal entangled states [5]- [7], the cavity of quantum electrodynamics [8], [9], and the relativistic accelerated frame [10]- [12]. Via the thermal mixed state in XXX Heisenberg chain models, the quantum entanglement teleportation and fidelity are investigated [13].…”

Thermal entanglement in a spin-1/2 Ising-XYZ distorted diamond chain with the second-neighbor interaction between nodal Ising spins

“…[14]. The quantities such as the output entanglement, fidelity and average fidelity of teleportation were studied by assuming the system in thermal equilibrium [14]. Very recently, the finite-temperature scaling of trace distance discord near criticality of the Ising-XXZ diamond chain was also examined in detail [15].…”

“…Inspired by these works, the quantum teleportation of two qubits for an arbitrary pure entangled state via two independent Ising-XXZ diamond chains considered as a quantum channel has been investigated in Ref. [14]. The quantities such as the output entanglement, fidelity and average fidelity of teleportation were studied by assuming the system in thermal equilibrium [14].…”