Edit2: So the more I think about it, the more the concept of extending an ME network with singularities to other sites/dimensions appeals to me. The problem with it really is that both sides need to be powered. Are there any elegant solutions for transmitting power across space/dimensions or do I need to look at something like sending yellorium/alumentum through the system and powering with that?
Well, the good news in AE2 is after you have the Quantum Gate link established, it automatically sends AE2 power across to the other side. In AE1, you had to provide power separately. But, in AE2, it takes power from the AE2 network itself - including across the quantum link - to maintain connection.
Just be warned, though. It's a *lot* of power. Each pair of gates is up to 1,000 EU/t if I'm not mistaken. A single max-sized BR Turbine or a single Naquadah can power plenty of pairs of gates, so it's not completely ridiculous, just "late-game".
Then, if you want to send even *more* power across the quantum link, you can use AE2 P2P tunnels. There are EU and RF P2P connections/tunnels.