Entanglement and quantum teleportation in a three-qubit Heisenberg chain with three-site interactions

Abstract

The thermal entanglement of a three-qubit XXZ Heisenberg model with three-site interactions in an external magnetic field, and the quantum teleportation via this model in thermal equilibrium state are investigated. It is found that entanglement and average fidelity depend on temperature, magnetic field, and anisotropy parameter J Z . Only ferromagnetic system is suitable for quantum teleportation. XZX + YZY interaction is in favor of entanglement, average fidelity, and critical temperatures, while XZY−YZX interaction against all of them. Moreover, we also find entanglement does not fully reflect average fidelity in virtue of study the relation between entanglement and average fidelity.

Entanglement teleportation via a couple of quantum channels in Ising–Heisenberg spin chain model of a heterotrimetallic Fe–Mn–Cu coordination polymer*

“…[21][22][23][24] Moreover, teleportation via the thermally entangled state has also attracted much attention. [25][26][27][28][29][30][31][32][33] The Heisenberg spin chain as one of the simplest solid state systems has been studied extensively in the quantum teleportation, including the two-qubit XX, [25] XY , [26] XXX, [27] XXZ Heisenberg models, [30] the three-qubit Heisenberg model with the Dzyaloshinsky-Moriya interaction, [32] and so on. In view of practical applications, it is necessary to study the model describing real materials.…”