From the qd help output:
$ ./drush.phar help qd
Download, install, serve and login to Drupal with minimal configuration and dependencies.
drush qd Download and install stable release of Drupal into a
timestamped directory, start server, and open the
site logged in as admin.
drush qd --profile=minimal --cache Fire up dev release of Drupal site with minimal
--core=drupal-8.0.x --yes install profile.
drush qd testsite devel Fire up stable release (using the cache) of Drupal
--server=:8081/admin --browser=firefox site called "testsite", download and enable devel
--cache --yes module, start a server on port 8081 and open /admin
drush qd commercesite Download and install the "Commerce Kickstart"
--core=commerce_kickstart distribution/install profile, display watchdog
--profile=commerce_kickstart --cache messages on the server console.
drush qd --makefile=mysite.make Create and install a site from a makefile.
It should be inferred that
drupal-<Sematic Version Piece> would be the project name you're downloading from the
--core=drupal-8.0.x example provided.
So the following should work I believe:
Actually Drupal 7 doesnt follow semantic versioning. So D7 would require either
drupal-7.NN. The above drupal examples would apply to drupal 8 and beyond as of 06-01-2017 due to semvar usage in drupal.