Descrying all aspects of the quantum entanglement of multipartite quantum systems is an essential part when researching the quantum entanglement. Maximally multi-qubit entangled state is one of the research objects. Recently, attracted by a criterion for maximally entangled nine-qubit state and construct a nine-qubit maximally entangled state, we construct a new genuine maximally nine-qubit entangled state via the recurrence relation. Further, nine-qubit entangled state is found which can be seen as a new form maximally nine-qubit entangled state. There are 108 of purity equal to 1/16, 18 of purity equal to 1/8 in observation. We believe the result could provide a new idea for constructing more new maximally multi-qubit states.

中文翻译：

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通过递归关系构造最大九量子比特纠缠态的新形式

在研究量子纠缠时，描述多分量子系统的量子纠缠的所有方面是必不可少的部分。最大多量子比特纠缠态是研究对象之一。最近，受到最大纠缠九量子位态标准的吸引并构建了一个九量子位最大纠缠态，我们通过递推关系构建了一个新的真正的最大九量子位纠缠态。此外，发现了九量子位纠缠态，这可以看作是一种新形式，最大为九量子位纠缠态。有108个纯度等于1/16，18个纯度等于1/8观察。我们相信该结果可以为构建更多新的最大多量子比特状态提供新思路。