Eclipse Phase is set much further in the future than Shadowrun, and involves lots of use of nanotech and ubiquitous computing. It features an Earth that is a no-go zone, having been rendered uninhabitable by a Singularity-seeking AI uprising, and the rules of science don't seem to work the same down there, which is blamed on sufficiently advanced technology. The AI, known as the TITANS, killed most of the human population, forcing many of the recently deceased population to flee the planet in the form of "infomorphs," which correlate pretty well with the AI character options in Runner's Companion. For some reason, the TITANS never left the planet, and suddenly disappeared, leaving Earth a hell-hole of combat nanites, radioactive hotspots, and other, less explainable things.
The most important aspect of Eclipse Phase, as far as most players are concerned, is the clone-based immortality. In the game, players have a small system in their brain that records their memories and backs up their current state from time to time, and has a small payload of entangled quibits to get the recording out to a bodyfarm in case of sudden death. From there, they are uploaded into another clone, and are good to go. Death doesn't mean much, as long as you are insured, and is frequently a faster form of travel than lugging a meat-body across the solar system.
In Augmentation, the nanotech Flashback System gives a character Photographic Memory by storing "neural activity map." If you get brain damage, or just forget something, there it is. It's the equivalent of a simsense recording of the memory, but since it isn't storing the actual memory, just the neural activity map, it's unusable by anyone else.
The section at the beginning of the nanotech section of Augmentation covering nanotech computing discusses MCT and NEOnet researching quantum computing, particularly quibits.
A quick scenario: Simon Kerimov is a spoiled brat who's father is the eccentric space engineer on Evo's Board of Directors. Being a spoiled rich brat, the roughly 100,000

Well, we can't have that, so we boot up Simon2 in Seattle in a safe house where his friendly Vory buddies will keep him out of trouble. Simon2 doesn't have the skills or memories of Simon to begin with, but between the skillwires, personafix chip, and access to Simon's memories from the Flashback System, eventually the difference will disappear. So we have a primitive form of clone based immortality.
SR4 could easily be the Eclipse Phase universe, set before the TITANS came, and before the anarchist groups liberated the unrestricted nanoforges from companies like Evo, Ares, and MCT. Earth will eventually be a no-go zone because magic doesn't work anywhere else. Lots and lots of tech is great, but the fey's glamor power will still win every time.
Eclipse Phase is open source, and we have some of the writers here who could throw together an open source tie-in if they were interested. What do you all think?