The tensor rank of tensor product of two three-qubit W states is eight

Lin Chen; Shmuel Friedland

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arXiv · 1708.08578

The tensor rank of tensor product of two three-qubit W states is eight

Lin Chen·Shmuel Friedland

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Abstract

We show that the tensor rank of tensor product of two three-qubit W states is not less than eight. Combining this result with the recent result of M. Christandl, A. K. Jensen, and J. Zuiddam that the tensor rank of tensor product of two three-qubit W states is at most eight, we deduce that the tensor rank of tensor product of two three-qubit W states is eight. We also construct the upper bound of the tensor rank of tensor product of many three-qubit W states.

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Lin Chen, Shmuel Friedland. 2017-08-29. The tensor rank of tensor product of two three-qubit W states is eight. https://arxiv.org/abs/1708.08578

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