Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Hebei Normal University

Thermal Entanglement and Teleportation in the Heisenberg Model with Magnetic Field

Xia Liu

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

The thermal entanglement of a two-qubit XXZ Heisenberg model in a homogeneous magnetic field is studied,and this model is used as quantum channel to teleport a two-qubit pure state,then the concurrence of teleported state and the average fidelity of teleportation are calculated,finally the influences on the concurrence and average fidelity in terms of the parameters of the Hamiltonian and T are discussed.

Related papers

Thermal Entanglement and Teleportation in Heisenberg Model with Dzyaloshinski-Moriya Anisotropic Antisymmetric Interaction in a Homogeneous Magnetic Field

Shufen Li

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.

Journal of Quanzhou Normal University•Jan 1, 2012•1 citation

Entanglement Teleportation in Two Heisenberg Model

Xuemin Qian

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.

ACTA PHOTONICA SINICA•Jan 1, 2008•0 citations

Studying the Thermal Entanglement and Quantum Teleportation of Ising Model

Jiang Wei-Xing

We investigate the thermal entanglement and average fidelity in the two-qubit Ising model with a uniform and nonuniform magnetic field.The concurrence of the measurement of entanglement is calculated.The behavior of concurrence is present at different forms.Contrary to the uniform magnetic fields case,the fidelity may be enhanced under a nonuniform magnetic field.And the average fidelity shows relation with the value of coupling constant J and Temperature T.We show them clearly by presenting figures.From the figures,two conclusions can be concluded.Firstly,in other same conditions,whether the magnetic field has the opposite or the same direction,the entanglement is the same.But when the magnetic field has the opposite direction,which can have a great effect on the average fidelity of the teleportation.Secondly,to enhance the entanglement and average fidelity we should choose the proper value of B and coupling constant J and decrease the temperature T.

Acta Sinica Quantum Optica•Jan 1, 2008•0 citations

Entanglement and Teleportation via Thermally Entangled State of Anisotropic Heisenberg XYZ Chain with Inhomogeneous External Magnetic Field

Ni Hui-Ying, Fang Jian-Xing, Zhu Shi-Qun +2 more

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.

Communications in Theoretical Physics•Feb 1, 2008•1 citation

Entanglement teleportation in anisotropic Heisenberg XY spin model with Herring–Flicker coupling

Anas Ait Chlih, Nabil Habiballah, Mostafa Nassik +1 more

In this paper, the features of quantum teleportation of a maximally entangled input thermal state using a system, consisting of two qubits (spin-1/2) anisotropic XY Heisenberg model with Herring–Flicker coupling in the presence of a magnetic field, are discussed. So, we study the influence on the thermal entanglement of different physical parameters such as temperature [Formula: see text], magnetic field [Formula: see text], degree of anisotropy [Formula: see text] and distance [Formula: see text] between the two spins. The goal is to determine the conditions of use of the system as a good channel to promote quantum teleportation. The amount of output entanglement is quantified by the concurrence [Formula: see text], and the quality of teleportation is analyzed using the concept of fidelity [Formula: see text]. It is shown that [Formula: see text] presents a maximum at extremely low temperature for a large range of the parameter [Formula: see text]. Also, when we increase the temperature, we observe a dissipation of the appropriate range of [Formula: see text] and the decrease of the amplitude of [Formula: see text]. Besides, under an external magnetic field [Formula: see text], we show the appearance of quantum phase transitions with the entanglement vanishing when the condition [Formula: see text] is fulfilled, then the system can ensure the ideal communication transmission. Concerning the Ising model [Formula: see text] in the ground state, the output entanglement is nonzero only in the presence of the magnetic field [Formula: see text], and this model is useful for ensuring a distorted transmission. At finite temperature, the fidelity [Formula: see text] is less than the value 2/3, so that the system is useless as a quantum channel for providing quantum teleportation.

Modern Physics Letters A•Feb 28, 2022•8 citations

Effects of inhomogeneous magnetic fields and different Dzyaloshinskii-Moriya interaction on entanglement and teleportation in a two-qubit Heisenberg XYZ chain

Meng Qin, Xiao Wang, Yanbiao Li +2 more

In this paper we calculate the thermal entanglement and teleportation in a two-qubit Heisenberg XYZ chain with the different Dzyaloshinskii-Moriya interaction and inhomogeneous magnetic fields. The analytical expressions of the concurrence and the average fidelity are obtained for this model. We have shown that the quantum phase transition occurs in the system and the quantum phase transition point depends on the inhomogeneity of magnetic fields. We compare the x-component Dzyaloshinskii-Moriya interaction with the z-component Dzyaloshinskii-Moriya interaction on the effects of quantum teleportation. It is found that we can take Dzyaloshinskii-Moriya interaction as one of the effective control parameters for the teleportation manipulation.

Chinese Physics C•Nov 1, 2013•4 citations
The thermal entanglement of a two-qubit XXZ Heisenberg model in a homogeneous magnetic field is studied,and this model is used as quantum channel to teleport a two-qubit pure state,then the concurrence of teleported state and the average fidelity of teleportation are calculated,finally the influences on the concurrence and average fidelity in terms of the parameters of the Hamiltonian and T are discussed.
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.
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.
We investigate the thermal entanglement and average fidelity in the two-qubit Ising model with a uniform and nonuniform magnetic field.The concurrence of the measurement of entanglement is calculated.The behavior of concurrence is present at different forms.Contrary to the uniform magnetic fields case,the fidelity may be enhanced under a nonuniform magnetic field.And the average fidelity shows relation with the value of coupling constant J and Temperature T.We show them clearly by presenting figures.From the figures,two conclusions can be concluded.Firstly,in other same conditions,whether the magnetic field has the opposite or the same direction,the entanglement is the same.But when the magnetic field has the opposite direction,which can have a great effect on the average fidelity of the teleportation.Secondly,to enhance the entanglement and average fidelity we should choose the proper value of B and coupling constant J and decrease the temperature T.
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.
In this paper, the features of quantum teleportation of a maximally entangled input thermal state using a system, consisting of two qubits (spin-1/2) anisotropic XY Heisenberg model with Herring–Flicker coupling in the presence of a magnetic field, are discussed. So, we study the influence on the thermal entanglement of different physical parameters such as temperature [Formula: see text], magnetic field [Formula: see text], degree of anisotropy [Formula: see text] and distance [Formula: see text] between the two spins. The goal is to determine the conditions of use of the system as a good channel to promote quantum teleportation. The amount of output entanglement is quantified by the concurrence [Formula: see text], and the quality of teleportation is analyzed using the concept of fidelity [Formula: see text]. It is shown that [Formula: see text] presents a maximum at extremely low temperature for a large range of the parameter [Formula: see text]. Also, when we increase the temperature, we observe a dissipation of the appropriate range of [Formula: see text] and the decrease of the amplitude of [Formula: see text]. Besides, under an external magnetic field [Formula: see text], we show the appearance of quantum phase transitions with the entanglement vanishing when the condition [Formula: see text] is fulfilled, then the system can ensure the ideal communication transmission. Concerning the Ising model [Formula: see text] in the ground state, the output entanglement is nonzero only in the presence of the magnetic field [Formula: see text], and this model is useful for ensuring a distorted transmission. At finite temperature, the fidelity [Formula: see text] is less than the value 2/3, so that the system is useless as a quantum channel for providing quantum teleportation.
In this paper we calculate the thermal entanglement and teleportation in a two-qubit Heisenberg XYZ chain with the different Dzyaloshinskii-Moriya interaction and inhomogeneous magnetic fields. The analytical expressions of the concurrence and the average fidelity are obtained for this model. We have shown that the quantum phase transition occurs in the system and the quantum phase transition point depends on the inhomogeneity of magnetic fields. We compare the x-component Dzyaloshinskii-Moriya interaction with the z-component Dzyaloshinskii-Moriya interaction on the effects of quantum teleportation. It is found that we can take Dzyaloshinskii-Moriya interaction as one of the effective control parameters for the teleportation manipulation.