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arXiv · 0904.3621

Berry phase and entanglement of 3 qubits in a new Yang-Baxter system

Taotao Hu·Chunfeng Wu·Kang Xue
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Abstract

In this paper we construct a new $8\times8$ $\mathbb{M}$ matrix from the $4\times4$ $M$ matrix, where $\mathbb{M}$ / $M$ is the image of the braid group representation. The $ 8\times8 $ $\mathbb{M}$ matrix and the $4\times4$ $M$ matrix both satisfy extraspecial 2-groups algebra relations. By Yang-Baxteration approach, we derive a unitary $ \breve{R}(θ, ϕ)$ matrix from the $\mathbb{M}$ matrix with parameters $ϕ$ and $θ$. Three-qubit entangled states can be generated by using the $\breve{R}(θ,ϕ)$ matrix. A Hamiltonian for 3 qubits is constructed from the unitary $\breve{R}(θ,ϕ)$ matrix. We then study the entanglement and Berry phase of the Yang-Baxter system.

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Taotao Hu, Chunfeng Wu, Kang Xue. 2009-04-23. Berry phase and entanglement of 3 qubits in a new Yang-Baxter system. https://doi.org/10.1063/1.3177295

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