The high-luminosity phase of the Large Hadron Collider (LHC) will provide 5-7 times greater instantaneous and total luminosities than assumed in the original design of the ATLAS Liquid Argon (LAr) Calorimeters and their readout system. The improved trigger system has a higher acceptance rate of 1 MHz and a longer latency of up to 60 micro-seconds. This requires an upgrade of the readout electronics, a better radiation tolerance is also required. This paper will present concepts for the future readout of the 182,468 calorimeter channels at 40 or 80 MHz with a 16 bit dynamic range. Progress of the development of low-noise, low-power and high-bandwidth electronic components will be presented. These include radiation-tolerant preamplifiers, ana...