My version of Qtopia Desktop is 1.5.6 and seems specific to the 6000.
When installing, note that you can only install one option to sync to (intellisync or Qtopia Desktop). If you install both (I tried it) and start a sync, it will complain that both are installed, and it will default to intellisync.
When I was syncing my palmos to both computers, I chose to keep each data source seperate, i.e. only sync calendar at work, only sync the other pim apps at home but not calendar. The exception was avantgo which seemed to work fine on both computers.
Good luck.