ULTRATWISTROICS · Engineering ultra-quantum materials with multiferroic super-moiré heterostructures

The groundbreaking objective of this proposal is to engineer a quantum material with super-moir heterostructures, realizing an electronic state never observed in nature and required to build a universal topological quantum computer. Building universal topological computers, whose building blocks rely on a controllable fractional topological state, is beyond any current capability. Engineering the required quantum materials requires complete control over the electronic state and interactions, a task currently impossible with any current compound. Twisted van der Waals materials have become a highly tunable materials platform to explore exotic electronic phenomena. Here, using van der Waals heterostructures, I will design the required material to build a universal topological computer: a material featuring non-abelian Fibonacci anyons. I will achieve this by exploiting two novel strategies: the design of super-moir hosting coexisting orders and their control via the proximity effect of multiferroic encapsulation. To tackle this challenge, I will combine well-tested and novel methodologies. In particular, I will develop three novel methodologies with wide impact: an ultra-long range formalism to tackle moir-of-a-moir, entanglement extraction from local dynamical impurity tomography, and neural-network solvers for fractional matter. The path to achieving these goals will allow me to create and control fractional Chern states, extract electronic entanglement with scanning tunnel microscopy, and establish a novel physically constrained many-body solver, each a milestone of exceptional interest in quantum materials engineering. I will reveal potential routes to realize and identify physics never found in nature, alongside providing methodologies of wide impact. This proposal will lead to a breakthrough in quantum materials engineering, ultimately providing the building blocks required for a van der Waals-based universal topological quantum computer.