Hi Alex,
To display qListView vertically would require code changes that will handle the behind-the-scenes work of adding list items as columns to the data source table rather than as rows (as it currently does) before it is rendered by the grid. You can customize the style of each row in the current qListView but probably not be able to change how the list items are laid out with respect to each other in qListView.
The qListView web part does not yet support rendering the list items in different styles such as "boxed" or "newsletter" as does out-of-the-box SharePoint. It has been logged as an enhancement for a future release (ID216750).
Yuan