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The Influence Of Dzyaloshinsky-Moriya Anisotropic Antisymmetric Interaction On Entanglement In Heisenberg Spin Chain With Intrinsic Decoherence And Thermal Equilibrium

Posted on:2012-08-31Degree:MasterType:Thesis
Country:ChinaCandidate:D GaoFull Text:PDF
GTID:2210330338972465Subject:Optics
Abstract/Summary:PDF Full Text Request
Entanglement has been extensively studied, because it has the fascinating fea-tures of quantum mechanics and provides a fundamental resource in quantum infor-mation processing, such as such as quantum teleportation, quantum dense coding, quantum cryptographic key distribution, quantum computation, quantum commu-nication, and so on. Then, it will unavoidably effects of the environmental impact and constrained by experimental conditions, preparation of the entangled states is not the maximally entangled states. On the other hand, the pure entangled states decoherent function by environment will degenerate into the mixed states. Used the mixed entangled states proceed to quantum communication and quantum compu-tation, it will lead to information distortion. In order to achieve better quantum communication or quantum computation effect, use this as the premise of the in-teraction of system and environmental impact. The central research question is enhance entanglement.First, We study the average fidelity of teleportation and thermal entanglement for a two-qubit Heisenberg XYZ chain in the presence of both an inhomogeneous magnetic field and a Dzyaloshinsky-Moriya interaction. We show that for a fixed DZ, the increase of bz will broaden the critical temperature at the cost of decreasing the thermal entanglement. And we can modulate the inhomogeneous magnetic field and the Dzyaloshinsky-Moriya interaction for the average fidelity of teleportation to be optimal. Then, we investigate the effect of the Dzyaloshinsky-Moriya anisotropic antisymmetric interaction on entanglement in a three-qubit Lsing model with intrin-sic decoherence. The entanglement of the nearest and the next to nearest neighbor qubit is calculated. The results show that, taking into account the intrinsic decoher-ence, when the qubits are initially in the maximal entangled state, the concurrence of the system decreases with increasing the Dzyaloshinsky-Moriya interaction following the evolution of the time t; when the qubits are initially in the disentangled state, the destructive effect of intrinsic decoherence on entanglement can be moderated by the Dzyaloshinsky-Moriya interaction, the concurrence increases with increasing the Dzyaloshinsky-Moriya interaction following the evolution of the time t.
Keywords/Search Tags:two-qubit Heisenberg XYZ chain, three-qubit Ising model, Dzyaloshinsky-Moriya interaction, Concurrence
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