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It is well-known that there are two ways to entangle three qubits (https://arxiv.org/abs/quant-ph/0005115) and nine ways to entangle four qubits (https://arxiv.org/abs/quant-ph/0109033).

I found in a paper (page 22 left column of https://arxiv.org/abs/2101.02431) that there are infinitely many ways to entangle five qubits, but I am not sure how to see or prove this or if this is correct.

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    $\begingroup$ It is already infinitely many ways for four qubits. There is nine classes, but each has some continuous parameter on addition. $\endgroup$
    – Norbert Schuch
    Commented Apr 17, 2022 at 9:10
  • $\begingroup$ Is there a proof for this assertion? $\endgroup$
    – R.G.J
    Commented Apr 17, 2022 at 18:27
  • $\begingroup$ I think this is what the Verstraete paper says. $\endgroup$
    – Norbert Schuch
    Commented Apr 17, 2022 at 19:05

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