Quantum computing advancements: Many theories of computronium involve leveraging quantum effects for computation. Significant progress in quantum computing technology would likely be necessary.
Novel materials science: New materials with properties that can be manipulated at the quantum level for computation would need to be developed.
Energy efficiency breakthroughs: To approach theoretical limits of computational efficiency, new methods of minimizing energy loss in computation would be crucial.
Advanced cooling systems: Dealing with heat dissipation at such dense computational scales would require innovative cooling solutions.
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