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Communications in Theoretical Physics

Partial Teleportation of Entanglement Through Natural Thermal Entanglement in Two-Qubit Heisenberg XXX Chain

Yong Zhang, Long Gui-Lu, Yu-Chun Wu, Guo Guang-Can

Published May 1, 2007• 25 citations

Abstract

Natural thermal entanglement between two qubits with XXX Heisenberg interaction is studied. For the antiferromagnet, increasing coupling strength or decreasing temperature under critical point increases the entanglement. Based on the thermal entanglement as quantum channel, entanglement and information of an input entangled state are transferred via partial teleportation. We find that the entanglement transferred will be lost during the process, and for the entanglement fidelity the partial teleportation is superior to classical communication as concurrence of entangled channel beyond 1/4. We show that both correlation information in input entangled state and individual information of the teleported particle are linearly dissipated. With more entanglement in quantum channel, more entanglement and correlation information can be transferred.

DOI: 10.1088/0253-6102/47/5/005

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Partial Teleportation of Entanglement Through Natural Thermal Entanglement in Two-Qubit Heisenberg XXX Chain

Zhang, Yong, Long +5 more

在有 XXX Heisenberginteraction 的二 qubits 之间的自然热纠纷被学习。为反铁磁性物质，增加在批评的点下面联合力量或减少的温度增加纠纷。作为输入的量隧道，纠纷和纠缠的状态经由部分远距传物被转移的信息基于热纠纷。我们发现转移的纠纷将在这个过程期间被失去，并且为纠纷忠实，部分远距传物作为在 1/4 以外的纠缠的隧道的同时发生比古典通讯优异。我们证明在输入的两个关联信息纠缠了移植粒子线性地被驱散的电视的州、单个的信息。在量隧道，更多的纠纷和关联信息的 Withmore 纠纷能被转移。

理论物理通讯：英文版•Jan 1, 2007•6 citations

Natural thermal entanglement between two qubits with XXX Heisenberg interaction is studied. For the antiferromagnet, increasing coupling strength or decreasing temperature under critical point increases the entanglement. Based on the thermal entanglement as quantum channel, entanglement and information of an input entangled state are transferred via partial teleportation. We find that the entanglement transferred will be lost during the process, and for the entanglement fidelity the partial teleportation is superior to classical communication as concurrence of entangled channel beyond 1/4. We show that both correlation information in input entangled state and individual information of the teleported particle are linearly dissipated. With more entanglement in quantum channel, more entanglement and correlation information can be transferred.

The thermal entanglement and teleportation of a thermally mixed entangled state of a two-qubit Heisenberg XXX chain under the Dzyaloshinski–Moriya (DM) anisotropic antisymmetric interaction through a noisy quantum channel given by a Werner state is investigated. The dependences of the thermal entanglement of the teleported state on the DM coupling constant, the temperature and the entanglement of the noisy quantum channel are studied in detail for both the ferromagnetic and the antiferromagnetic cases. The result shows that a minimum entanglement of the noisy quantum channel must be provided in order to realize the entanglement teleportation. The values of fidelity of the teleported state are also studied for these two cases. It is found that under certain conditions, we can transfer an initial state with a better fidelity than that for any classical communication protocol.

Thermal entanglement of a two-qubit Heisenberg chain in the presence of the Dzyaloshinski-Moriya (DM) anisotropic antisymmetric interaction and entanglement teleportation when using two independent Heisenberg chains as the quantum channel are investigated. It is found that the DM interaction can excite entanglement and teleportation fidelity. The output entanglement increases linearly with increasing value of the input; its dependences on the temperature, DM interaction, and spin coupling constant are given in detail. Entanglement teleportation will be better realized via an antiferromagnetic spin chain when the DM interaction is turned off and the temperature is low. However, the introduction of the DM interaction can cause the ferromagnetic spin chain to be a better quantum channel for teleportation. A minimal entanglement of the thermal state in the model is needed to realize the entanglement teleportation regardless of whether the spin chains are antiferromagnetic or ferromagnetic.

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.

This study investigates thermal entanglement in a four-qubit spin chain of Heisenberg model XX with the presence of the Dzyaloshinski-Moriya (DM) anisotropic asymmetric interaction, an external magnetic field, and another parameter. Then, the spin chain was used as a quantum channel for transferring an unknown quantum state. Finally, fidelity concept was used to check the similarity between input state and output state which, in fact, shows the degree of success in teleportation. In this way, the effect of different parameters on the fidelity was determined. It was concluded that quantum channel comprised of four-qubit spin chain which has thermal equilibrium is an appropriate candidate for quantum transfer of information.

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.

在有 XXX Heisenberginteraction 的二 qubits 之间的自然热纠纷被学习。为反铁磁性物质，增加在批评的点下面联合力量或减少的温度增加纠纷。作为输入的量隧道，纠纷和纠缠的状态经由部分远距传物被转移的信息基于热纠纷。我们发现转移的纠纷将在这个过程期间被失去，并且为纠纷忠实，部分远距传物作为在 1/4 以外的纠缠的隧道的同时发生比古典通讯优异。我们证明在输入的两个关联信息纠缠了移植粒子线性地被驱散的电视的州、单个的信息。在量隧道，更多的纠纷和关联信息的 Withmore 纠纷能被转移。