Dune is set about 20,000+ years into the future from present time.
To give you an idea the time when Paul Atreides is born in 10,175 AG. The roman empire is founded in ~16400 BG (27 BC) and falls ~16000 BG (476 AD). Sine you're counting backwards to 0 AG then 2016 would be 16000 BG (476 AD) - (2016 AD - 476 AD) = 14460 BG. Which means Paul Atreides is born in year 24,635 AD (give or take ~100 years)
Now what you guys are talking about is the Butlerian Jihad that lasted from 200 BG to 108 BG in which thinking machines (AI) revolted against their creators (humans) leading to the banning of thinking machines (AI) but not computers or electronics. A book called the Orange Catholic Bible or OCB is written (an extended version of the Catholic Bible) in which thinking machines are prohibited and Mentats start being trained as replacement for computers.
"Thou shalt not make computers in the likeness of the human mind" OCB
Essentially this means all advancements in AI are halted for the next tens of thousands of years.
But there are some people for example house of IX that continued developing cybertechnology to such an extend that they are able to replace any body part with a cybernetic counterpart. They probably have the ability to create a fully AI lifeform. They probably don't do it or only do it privately in fear of the Emperor.
BG & AG
The
greatest milestone in this future timeline is the
establishment of the Space Guild , CHOAM and the Emperor of the Universe throne (Lion Throne). These 3 bodies will define the next thousands of years so much so that this moment is referred to 0 AG (after guild) and all events previous to this are considered BG (before guild).
See timeline here
https://dune.wikia.com/wiki/Timeline_(Dune_Encyclopedia)