You want to access KDE software that is running on another computer.
Reasons can be
You will need the software x11vnc. For example, to install x11vnc on SUSE Linux, open a Konsole and type
yast -i x11vnc
So let's assume you want to access a KDE desktop session of user on the computer user-desktop. Open a Konsole and do:
you@your-computer $ ssh user@user-desktop user@user-desktop $ export DISPLAY=:0 user@user-desktop $ x11vnc
The program x11vnc tells you where to connect. The line will read like
The VNC desktop is: user-desktop:0
Connect from your notebook:
you@your-computer $ vncviewer user-desktop:0
The "user-desktop" term may be the host name of the server machine if that name is configured in the "hosts" file on the client machine.