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I am looking at GKP and cat states. Wigner plots are newish to me, and I'm trying to get an intuitive feel for the imformation they impart.

Just by looking at a Wigner plot, can one discern whether the state shown would make a good qubit? What does one look for? Are certain, say, symmetries, important?

E.g., I know the grid-like pattern of a GKP state means some error-correction is inherent.

(Asking here too as well as on the quantum computing stack)

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