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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.
we investigate entanglement and separability criteria of multipartite npartite state by examining ranks of its reduced density matrices, In particular, what is the proof for entanglement of $ ghzrangle $ and $ wrangle $ states. In both the examples we consider the 3qutrit and 4qutrit cases and explain their nonsepar.
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