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arXiv · 1605.07929

Identifying non-k-separability of a class of N-qubit complete graph states using correlation tensors

N. Ananth·M. Senthilvelan
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Abstract

We derive a general expression for standard tensor norm of $N$-body correlation tensors for $N$-qubit complete graph states. With the help of this expression, we formulate a separability criterion that identifies non-$k$-separability of a class of $N$-qubit complete graph states, including GHZ state. We illustrate the performance of our criterion by considering the $N$-qubit complete graph states added with colored product noise. We also demonstrate that few local measurement settings are sufficient to evaluate our criterion.

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N. Ananth, M. Senthilvelan. 2016-05-25. Identifying non-k-separability of a class of N-qubit complete graph states using correlation tensors. https://doi.org/10.1140/epjd%2Fe2016-70056-2

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