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We Propose An Alternative Definition For Genuine Multipartite Entanglement, Whereby A Quantum State Is Genuinely Network Kentangled If It Cannot Be Produced By Applying Local Tracepreserving.

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The Measure Is Applied To Study The Multipartite Entanglement Of Four Partite Systems Using The Operator To State Mapping, And The Four Partite Permutation Qutrit States Are Classified According To The Measure.

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