libpolkit-qt-1-1 software package provides PolicyKit-qt-1 library, you can install in your Ubuntu 14.04 LTS (Trusty Tahr) by running the commands given below on the terminal,
$ sudo apt-get update $ sudo apt-get install libpolkit-qt-1-1
libpolkit-qt-1-1 is installed in your system.
Make ensure the libpolkit-qt-1-1 package were installed using the commands given below,
$ sudo dpkg-query -l | grep libpolkit-qt-1-1 *
You will get with libpolkit-qt-1-1 package name, version, architecture and description in a table
| Distro | Ubuntu 14 04 lts trusty tahr |
| Section | Libraries |
| Package | libpolkit-qt-1-1 |
| Version | 0.103.0-1ubuntu1 |
| Description | PolicyKit-qt-1 library |
| Sub Section | libs |