The goal is similar, but not execution. I don't know all specs of Persona - learnt about it when it was being deprecated - but the key difference SecureLogin cannot be deprecated.

"All user data stored on the persona.org services will be destroyed, including registered email addresses and password hashes"

And hey, there's nothing on SL servers.

More like SQRL, but without the ability to authenticate from a different device (smartphone)

Yes, you can only auth from current app installed on current device. No QR codes involved :)