According with Aravind:

  • the Hopf link, L2a1, corresponds to the Bell state $\frac{1}{\sqrt 2}\big (|00\rangle+|11\rangle\big )$,
  • the Borromean link (L6a4) can be considered as GHZ state $\frac{1}{\sqrt 2}\big(|000\rangle+|111\rangle\big )$, and
  • the link L6n1 can be associated with a W state $W=\frac{1}{\sqrt 3}\big(|001\rangle+|010\rangle+100\rangle\big )$.

But, according Melnikov et. al, we have a different picture: the Borromean link L6a4 is associated with the W state while L6n1 is associated with the GHZ state.

The Hopf Link, or the Bell state:

Hopf Link

L6a4, or the GHZ state in Aravind and the W state in Melnikov et al.:


L6n1, or the W state in Aravind and the GHZ state in Melnikov et al.:


I am confused with such different assignments. Could someone clarify the issue?

  • 1
    $\begingroup$ Probably a link to the first paper is missing, please add it. $\endgroup$ Jan 27 at 8:34


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