For the $|W_3\rangle=\frac{1}{\sqrt{3}}(|001\rangle+|010\rangle+|100\rangle)$, what does W stand for? Does it refer to an author name? Anyone knows a reference? Thanks
1 Answers
Apparently $\vert W \rangle$ was first reported (and the naming convention first adopted) by Dür, Vidal and Cirac in this preprint on May 26, 2000 (version 1 of 2).
This is supported by the footnote on page 4 of this preprint on June 25, 2000 (version 3 of 3, this footnote did not appear in the earlier versions), which states (in part)
Very recently Dürr [sic], Vidal, and Cirac (LANL eprint quantph/0005115) have found a tripartite pure state of 3 qubits which is stochastically incomparable with the GHZ state.
Dür, Vidal and Cirac don't explicitly ascribe any special significance to the notational choice $\vert W \rangle$, so it seems that only the authors could say with any confidence whether $W$ has any significance.
Edit: The lead author's first initial is W. (for Wolfgang), which is plausible motivation for the notation $\vert W \rangle$, but I'm not aware of any evidence to support this.
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