Qt 5.2 is coming up and there will be official support for Android, after a tech preview level of support was introduced with Qt 5.1. Qt 5.2 supports Android rather well but features like system semaphores and shared memory within Qt Core is not supported, there is no WebKit/WebEngine support, and various add-on Qt modules are not supported like NFS and Bluetooth support. Many of these extra Qt5 features though are planned to be completed for the Android support during the Qt 5.3 cycle. The Qt 5.3 release should come in the first half of 2014.
For those wanting to find out the complete state of Qt Android, including its origins, there is the KDAB blog post published on Friday that covers the support status at length. Multiple blog posts are planned, including getting started with Qt development on Android.