Quantum Correlations and Teleportation in Heisenberg XX Spin Chain

Qin, Wan; Guo, Jin‐Liang

doi:10.1007/s10773-014-2463-4

Cited by 10 publications

(3 citation statements)

References 38 publications

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“…[21][22][23][24] Moreover, teleportation via the thermally entangled state has also attracted much attention. [25][26][27][28][29][30][31][32][33] The Heisenberg spin chain as one of the simplest solid state systems has been studied extensively in the quantum teleportation, including the two-qubit XX, [25] XY , [26] XXX, [27] XXZ Heisenberg models, [30] the three-qubit Heisenberg model with the Dzyaloshinsky-Moriya interaction, [32] and so on. In view of practical applications, it is necessary to study the model describing real materials.…”

Section: Introductionmentioning

confidence: 99%

Entanglement teleportation via a couple of quantum channels in Ising–Heisenberg spin chain model of a heterotrimetallic Fe–Mn–Cu coordination polymer*

2019

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We investigate the teleportation of an entangled state via a couple of quantum channels, which are composed of a spin-1/2 Heisenberg dimer in two infinite Ising–Heisenberg chains. The heterotrimetallic coordination polymer CuIIMnII(L1)][FeIII(bpb)(CN)2]·ClO4 · H2O (abbreviated as Fe–Mn–Cu) can be regarded as an actual material for this chain. We apply the transfer-matrix approach to obtain the density operator for the Heisenberg dimer and use the standard teleportation protocol to derive the analytical expression of the density matrix of the output state and the average fidelity of the entanglement teleportation. We study the effects of the temperature T, anisotropy coupling parameter Δ, Heisenberg coupling parameter J 2 and external magnetic field h on the quantum channels. The results show that anisotropy coupling Δ and Heisenberg coupling J 2 can favor the generation of the output concurrence and expand the scope of the successful average fidelity.

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Section: Introductionmentioning

confidence: 99%

Entanglement teleportation via a couple of quantum channels in Ising–Heisenberg spin chain model of a heterotrimetallic Fe–Mn–Cu coordination polymer*

2019

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“…So far, some new research progress has been made for the GQD in different quantum systems. [18][19][20][21][22] However, the GQD and the negativity under the association measure of separable and mixed quantum correlation problems are rarely studied. Therefore, in this paper, we investigate the quantum correlation and the quantum entanglement in a system of separable and mixed qubits interacting with the coherent state light field.…”

Section: Introductionmentioning

confidence: 99%

Geometrical quantum discord and negativity of two separable and mixed qubits*

Liu

Shan

et al. 2019

Chinese Phys. B

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We studied quantum correlation and quantum entanglement of a quantum system in which a coherent state light field interacts with two qubits that are initially prepared in a separable and mixed state. The influence of mean photon number of the coherent field and distribution probability of the atom on the geometrical quantum discord and the negativity are discussed. Our results show that the mean photon number of light field and distribution function of the atom can regulate and control the quantum correlation and quantum entanglement.

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“…Many schemes were proposed for teleportation, so the system based on Heisenberg spin chain can serve as an efficient communication channel for quantum teleportation [6] and reference therein, the state of two qubits Heisenberg model has been considered as a quantum channel in the presence and absence of an external magnetic field. Furthermore, the quantum correlations and teleportation through the Heisenberg XX spin chain have been discussed in [7].…”

Section: Introductionmentioning

confidence: 99%

Entangled state teleportation through a couple of quantum channels composed ofXXZdimers in an Ising-XXZdiamond chain

2017

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The quantum teleportation plays an important role in quantum information process, in this sense, the quantum entanglement properties involving an infinite chain structure is quite remarkable because real materials could be well represented by an infinite chain. We study the teleportation of an entangled state through a couple of quantum channels, composed by Heisenberg dimers in an infinite Ising-Heisenberg diamond chain, the couple of chains are considered sufciently far away from each other to be ignored the any interaction between them . To teleporting a couple of qubits through the quantum channel, we need to find the average density operator for Heisenberg spin dimers, which will be used as quantum channels. Assuming the input state as a pure state, we can apply the concept of fidelity as a useful measurement of teleportation performance of a quantum channel. Using the standard teleportation protocol, we have derived an analytical expression for the output concurrence, fidelity, and average fidelity. We study in detail the effects of coupling parameters, external magnetic field and temperature dependence of quantum teleportation. Finally, we explore the relations between entanglement of the quantum channel, the output entanglement and the average fidelity of the system. Through a kind of phase diagram as a function of Ising-Heisenberg diamond chain model parameters, we illustrate where the quantum teleportation will succeed and a region where the quantum teleportation could fail.

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Quantum Correlations and Teleportation in Heisenberg XX Spin Chain

Cited by 10 publications

References 38 publications

Entanglement teleportation via a couple of quantum channels in Ising–Heisenberg spin chain model of a heterotrimetallic Fe–Mn–Cu coordination polymer*

Entanglement teleportation via a couple of quantum channels in Ising–Heisenberg spin chain model of a heterotrimetallic Fe–Mn–Cu coordination polymer*

Geometrical quantum discord and negativity of two separable and mixed qubits*

Entangled state teleportation through a couple of quantum channels composed ofXXZdimers in an Ising-XXZdiamond chain

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