Where Quantum Science fits
In the September playtest, Quantum Science came after players researched the Slipstream Drive and started mining in other sectors of the starting system. Cobalt and graphite were the two resources the developer singled out for that part of the science path. Start by checking whether your current build gives you access to the same branch.
Set up the first trip beyond your home sector
Use the Slipstream milestone to expand the area you can reach. Check other sectors for deposits, then work out how you'll bring the haul back to your factory. A mining trip that returns enough material for an initial research batch gives you a chance to check the production requirements before investing in a recurring supply route.
Keep the October demo in context
The developer's September playtest overview describes the Quantum Science route. The subsequent October demo announcement specifically confirms Electromagnetic Science. If you're playing the demo, look for Quantum Science in your own research view before building a dedicated production chain for it.
FAQ
What materials does the documented route point to?
Cobalt and graphite, mined in other sectors of the starting system during the September playtest.
Do I need to leave the starting star system?
The developer placed these resources in other sectors within the system. Interstellar travel comes later in the described progression.
Where can I check the exact recipe?
Check the active research entry and the recipes in the build you're playing. Those are the relevant requirements for your save.