Digital coherent receivers with data-rates of 100 Gbit/s based on dual-polarization quaternary phase shift keying (DP-QPSK) have become a reality. One research trend is now directing towards even higher bit-rates of 400 Gbit/s and 1 Tbit/s. However, it is also very desirable to improve the performance of the current basic 100 Gbit/s DP-QPSK. Algorithms have a huge improvement potential and exemplary recent advances will be introduced in this paper.