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ACTA PHOTONICA SINICA

Entanglement Teleportation in Two Heisenberg Model

Xuemin Qian

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

Entanglement teleportation, using thermally entangled state of two two-qubit Heisenberg XX chain as resource, was carried out. The deferent density operator and the fidelity of teleportation were calculated. And then, how the entanglement teleportation depends on the temperature and the magnetic field was analyzed. The results show that the entanglement teleportation of the mixed quantum channel is superior to the classical communication when the magnetic field B is feebleness and the temperature T is very low.

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Entanglement teleportation, using thermally entangled state of two two-qubit Heisenberg XX chain as resource, was carried out. The deferent density operator and the fidelity of teleportation were calculated. And then, how the entanglement teleportation depends on the temperature and the magnetic field was analyzed. The results show that the entanglement teleportation of the mixed quantum channel is superior to the classical communication when the magnetic field B is feebleness and the temperature T is very low.
In the experiment of quantum communication,maximal entangled pure states are difficult to got due to the effects of environment.Therefore,a quantum channel is always represented by a form of mixed states.The thermal equilibrium state in solid state materials is one essential mixed entangled state.In this dissertation,a two-particle entangled state can be teleported through the channel of thermal mixed states in two independent 1D Heisenberg chains.We study the effects of the non-uniform external magnetic field B and temperature T on the entanglement and fidelity.In order to characterize the quality of the teleported state,we make a research of the average fidelity FA.And when B1 and B2 have different directions,the entanglement teleportation is better than the classical teleportation under low temperature.At that case the average fidelity is always larger than 2/3 which is the limited value of the classical teleportation.
In this paper we study the entanglement in a two-qubit spin in the XYZ model, and teleport a two-qubit entangled state using this spin chain in the condition of the thermal equilibrium as a quantum channel. We investigate the effects of the interaction of z-component JZ, the inhomogeneous magnetic field b, the anisotropy ?, and the temperature T on the entanglement and fidelity. In order to characterize the quality of the teleported state, we research the average fidelity Fa. High average fidelity of the teleportation is obtained when the temperat ure is very low. Under some condition, we also find that when inhomogeneity increases to a certain value, the average fidelity can exhibit a larger revival than that for less values of b.
The thermal entanglement of a two-qubit XXZ Heisenberg model in the presence of Dzyaloshinski-Moriya anisotropic antisymmetric interaction in a homogeneous magnetic field is studied,and this model is used as the quantum channel to teleport a two-qubit pure state,then the entanglement of teleported state and the average fidelity of teleportation are calculated.Finally the influences on the entanglement of outper states and average fidelity in terms of the D-M coupling constant,spin coupling constant,anisotropy parameter,magnetic induction and temperature are discussed.
We consider a two-qubit Heisenberg XXZ chain as a resource for quantum teleportation via the standard teleportation protocol T 0 . The effects of anisotropic on teleportation fidelity and entanglement are studied in detail. We find anisotropic not only improves the critical temperature T c and critical magnetic field B c , beyond which quantum teleportation is inferior to classical communication protocol, but also enhances the fidelity for fixed magnetic field B and temperature T. For entanglement teleportation, the effects of magnetic field on average fidelity and output entanglement are studied.