In 1996, Nayak and Wilczek discovered the type of non-Abelian statistics in paired quantum Hall states associated with
Majorana zero modes. In 2005, with
Michael Freedman and
Sankar Das Sarma, Nayak authored a proposal for a topological
qubit using the 5/2
fractional quantum Hall state as the non-Abelian topological state. In 2006 and 2008, Das Sarma, Freedman and Nayak developed theoretical proposals for
topological quantum computing based on non-abelian
anyons. In 2011, Nayak, Parsa Bonderson and Victor Gurarie proved that quasiparticles in certain quantized Hall states are non-Abelian anyons, firmly establishing the mathematical foundation of these particles. In 2016, with Dominic Else and Bela Bauer, he developed Floquet
time crystals and predicted its occurrence in periodically driven systems. Nayak also led research teams in inducing a phase of matter characterized by Majorana zero modes with low enough disorder to pass the topological gap protocol, demonstrating the viability of topological quantum computing. In February 2025, the Microsoft Quantum team announced the creation of a chip powered by a topological architecture. The claim has been met with skepticism by many in the quantum scientific and engineering community, who question the lack of data supporting the existence of the proposed qubits. Nayak has clarified that the supporting data, namely measurements on the native operations in a measurement-based topological qubit, do exist. Results were presented to a closed group at a Station Q meeting and are anticipated at the 2025 APS March Meeting. ==Recognition==