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Tripartite entanglement sudden death in Yang-Baxter systems

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Abstract

In this paper, we derive unitary Yang-Baxter \({\breve{R}(\theta, \varphi)}\) matrices from the \({8\times8\,\mathbb{M}}\) matrix and the 4 × 4 M matrix by Yang-Baxteration approach, where \({\mathbb{M}/M}\) is the image of the braid group representation. In Yang-Baxter systems, we explore the evolution of tripartite negativity for three qubits Greenberger-Horne-Zeilinger (GHZ)-type states and W-type states and investigate the evolution of the bipartite concurrence for 2 qubits Bell-type states. We show that tripartite entanglement sudden death (ESD) and bipartite ESD all can happen in Yang-Baxter systems and find that ESD all are sensitive to the initial condition. Interestingly, we find that in the Yang-Baxter system, GHZ-type states can have bipartite entanglement and bipartite ESD, and find that in some initial conditions, W-type states have tripartite ESD while they have no bipartite Entanglement. It is worth noting that the meaningful parameter \({\varphi}\) has great influence on bipartite ESD for two qubits Bell-type states in the Yang-Baxter system.

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Authors and Affiliations

  1. School of Physics, Northeast Normal University, 130024, Changchun, People’s Republic of China

    Taotao Hu & Kang Xue

  2. Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 130033, Changchun, People’s Republic of China

    Hang Ren

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  1. Taotao Hu
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  2. Hang Ren
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  3. Kang Xue
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Correspondence to Taotao Hu.

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Hu, T., Ren, H. & Xue, K. Tripartite entanglement sudden death in Yang-Baxter systems. Quantum Inf Process 10, 705–715 (2011). https://doi.org/10.1007/s11128-010-0221-y

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