Fu-Lin Zhang, Jing-Ling Chen
Recent experimental progress in prolonging the coherence time of a quantum system prompts us to explore the behavior of quantum entanglement at the beginning of the decoherence process. It can be a signature of the robustness of entangled states. A crucial problem to characterize the influence of environments on multipartite systems is the absence of a general quantitative theory for multipartite entanglement. In this work, we study the linear response of the tripartite entanglement of a symmetrical three-qubit pure state under an infinitesimal noise, which is the white noise in the subspace of four W states. A lower bound of the linear response has been found to depend completely on the initial tripartite entanglement and bipartite entanglement between one qubit and the other two. The decay of tripartite entanglement is hastened by the bipartite one.
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http://arxiv.org/abs/1307.6077
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