© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

Acta Sinica Quantum Optica

Studying the Thermal Entanglement and Quantum Teleportation of Ising Model

Jiang Wei-Xing

Published Jan 1, 2008• 0 citations

Abstract

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.

Related papers

Thermal entanglement in the two-qubit Heisenberg XY model under a nonuniform external magnetic field

Yang Sun, Yuguang Chen, Hong Chen

We investigate the thermal entanglement in the two-qubit Heisenberg XY model with a nonuniform magnetic field. Concurrence, the measurement of entanglement, is calculated. The behavior of concurrence is present at three different cases. Contrary to the uniform magnetic field case, we find that the entanglement and the critical temperature ${T}_{C}$ may be enhanced under a nonuniform magnetic field.

Physical Review A•Oct 6, 2003•175 citations

Entanglement Teleportation via a Two-Qubit System with Anisotropic Couplings under a Different Nonuniform Magnetic Field

Meng Qin

We examine entanglement teleportation, characterized by average fidelity, of two-qubit XYZ spin chain under different nonuniform magnetic field. The entanglement teleportation and the fidelity of entanglement teleportation are investigated separately. We show explicitly that the fidelity of entanglement teleportation can be enhanced by changing the direction of the magnetic field. This means that we can always get optimal fidelity by choosing the directions of magnetic field in the process of quantum teleportation. Moreover, the results show that in some cases the ferromagnetic chain also is a qualified candidate in the process of teleportation protocol.

Communications in Theoretical Physics•Mar 1, 2013•3 citations

ENTANGLEMENT IN THE XY HEISENBERG MODEL

Xin Tian, Jia-tih Lin, Liang Liu +1 more

We investigate the thermal entanglement of two-qubit anisotropic Heisenberg XY model in the presence of an external nonuniform magnetic field B along the z-axis. Concurrence, the measure of entanglement is calculated and its property is studied in different cases. Two best models, Ising model under a uniform magnetic and isotropic model in a nonuniform magnetic field, are discovered. In the two models, the critical temperature Tc (above which there is no entanglement) can be enhanced and its concurrence is maximal.

Modern Physics Letters B•Aug 30, 2004•4 citations

Thermal Entanglement and Teleportation in the Heisenberg Model with Magnetic Field

Xia Liu

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.

Journal of Hebei Normal University•Jan 1, 2009•0 citations

Influence of Decoherence of Two-Qubit Ising Model on Entanglement and Fidelity

Zhenghong He

An investigation of the entanglement and fidelity for two-qubit Ising model in an external uniform magnetic field showed that the entanglement degree oscillated with increasing phase decoherence in the initial stage and decreased with the increase in phase decoherence thereafter,the decline of the entanglement degree being greater with greater phase decoherence.When the initial state of the system was on its eigenstate,the concurrence was zero,or it did not change with the evolution of phase decoherence.The fidelity of the system exhibied an obvious periodic change and tended to remain at a constant value with the increase in phase decoherence.The entanglement degree and fidelity of the two-qubit Ising model could be enhanced or weakened through controlling magnetic field B.

Journal of Southwest University•Jan 1, 2008•0 citations

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

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.

We investigate the thermal entanglement in the two-qubit Heisenberg XY model with a nonuniform magnetic field. Concurrence, the measurement of entanglement, is calculated. The behavior of concurrence is present at three different cases. Contrary to the uniform magnetic field case, we find that the entanglement and the critical temperature

{T}_{C}

may be enhanced under a nonuniform magnetic field.

We examine entanglement teleportation, characterized by average fidelity, of two-qubit XYZ spin chain under different nonuniform magnetic field. The entanglement teleportation and the fidelity of entanglement teleportation are investigated separately. We show explicitly that the fidelity of entanglement teleportation can be enhanced by changing the direction of the magnetic field. This means that we can always get optimal fidelity by choosing the directions of magnetic field in the process of quantum teleportation. Moreover, the results show that in some cases the ferromagnetic chain also is a qualified candidate in the process of teleportation protocol.

We investigate the thermal entanglement of two-qubit anisotropic Heisenberg XY model in the presence of an external nonuniform magnetic field B along the z-axis. Concurrence, the measure of entanglement is calculated and its property is studied in different cases. Two best models, Ising model under a uniform magnetic and isotropic model in a nonuniform magnetic field, are discovered. In the two models, the critical temperature Tc (above which there is no entanglement) can be enhanced and its concurrence is maximal.

An investigation of the entanglement and fidelity for two-qubit Ising model in an external uniform magnetic field showed that the entanglement degree oscillated with increasing phase decoherence in the initial stage and decreased with the increase in phase decoherence thereafter,the decline of the entanglement degree being greater with greater phase decoherence.When the initial state of the system was on its eigenstate,the concurrence was zero,or it did not change with the evolution of phase decoherence.The fidelity of the system exhibied an obvious periodic change and tended to remain at a constant value with the increase in phase decoherence.The entanglement degree and fidelity of the two-qubit Ising model could be enhanced or weakened through controlling magnetic field 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.