With 5D optical storage, each file is uses three layers of nanoscale dots. The dots' size, orientation and position within the three standard dimensions, make up the five "dimensions." The dots change the polarization of light travelling through the disc which is read using a microscope and polarizer.
...To overcome the speed problem, researchers used a femtosecond laser with a high repetition rate. Rather than writing directly in the glass, they used the laser to produce a phenomenon called near-field enhancement, that creates tiny structures using a few weak light pulses. Those can be used to enhance the circular voids generated by a more powerful, single-pulse "micro-explosion."
...They were also able to write at speeds or around a million voxels per second, or about 230 KB per second.
That might sound slow, but by introducing parallel writing, you could feasibly fill a 500TB disc in about 60 days. That could provide a way to backup reams of valuable data, essentially forever.