Charting New Frontiers in Quantum Computation with Exotic Anyons

The main goal of TOBITS is to explore the exotic anyons in advancing quantum computing technologies. Anyons are quasiparticles that arise in two-dimensional systems, particularly in topological phases of matter. Non-abelian anyons are particularly promising for topological quantum computing. They exhibit unique statistics that differ from traditional fermions and bosons. Braiding of these anyons exhibits more complex behavior. The outcome of braiding two non-abelian anyons depends on the order of the exchanges, leading to a richer structure of quantum states.

The consortium of TOBITS will explore these excitations in several systems, such as conventional fractional quantum Hall states and certain designer platforms such as moiré of transitional metal dichalcogenides. The goal of TOBITS is to explore new materials and methods to create and manipulate these exotic anyons more effectively.

About us

Topological quantum gates exploit the unique properties of non-Abelian anyons to perform quantum computations with inherent robustness against local perturbations and decoherence. In a topological quantum computer, qubits are encoded in the non-Abelian anyonic states, and quantum gates are implemented through the braiding of these anyons. The braiding operations, which involve moving one anyon around another in a specific manner, alter the quantum state of the system in a way that depends only on the topology of the paths taken, rather than on the details of the trajectories. This topological nature of the operations ensures that the quantum gates are highly fault-tolerant, as small errors in the anyon trajectories do not affect the outcome of the computation.

The TOBITS project, by developing an interferometer for braiding quasiparticles in graphene and creating designer non-Abelian states in quantum Hall bilayers, aims to advance the understanding and realization of these topological quantum gates. Through precise control and characterization of non-Abelian anyons, the project seeks to lay the groundwork for topological quantum computing platforms that leverage the stability and error-resilience of topological quantum gates, ultimately moving towards the development of scalable quantum computers based on fractional Chern insulators and other topological phases of matter.