As Moore’s Law grinds to a halt, we are entering a new world of software driven hardware, of ASICs and machine learning accelerators. This has opened up new opportunities for novel low-power electronics and emerging materials underpinning them. While quantum computing can end up being disruptive in algorithmic scale-up, there are many opportunities for classical computing with topological quantum states based on present day technology that can be quite disruptive as well. There are two examples I will focus on – one is doing conventional Boolean logic at low power below the thermal Boltzmann limit, using the topological properties of Dirac fermions to control transmission across a gated interface. The other is doing collective computing using temporal state machines to solve certain graph theory problems efficiently. An example is skyrmions driven along racetracks, whose quasi-linear operation and topologically stabilized lifetimes at ultra-small sizes can potentially function as temporal memory in race logic for rapid pattern matching and intermittent-sensor processing applications. These two concepts – topology driven lifetime and topology driven transmission, can be used to accomplish entirely different goals in low-power computing.