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 $$J_Z$$JZ. Only ferromagnetic system is suitable for quantum teleportation. $$\hbox {XZX}+\hbox {YZY}$$XZX+YZY interaction is in favor of entanglement, average fidelity, and critical temperatures, while $$\text{ XZY }- \hbox {YZX}$$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.

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