You can use the recovery option on the target user's computer (the same one used to switch Personal documents to a new computer), but this is limited to three times per file, iirc, and you won't be able to maintain the file except on that user's machine.
Alternatively, you can recreate the file on that user's machine using that user's login. If you are able to lease a license from a server (or temporarily enter your Developer license), you should be able to just copy-paste everything.
The license is tied to the user. The installed software can be used by any user, but the user will get Personal Edition unless he/she either entered a license or leases a license from a Qlikview Server where a user cal has been assigned to that user.