Projects

We use Scrooge ensemble to provide robust numerical match with finite-temparature eigenstate magic, utilizing Gaussian distribution ansatzes to motivate our results analytically.

We use semidefinite programming (SDP) to establish rigorous no-go theorems on the fundamental limitations of Lindblad equations in correctly modeling non-equilibrium steady states.

We summarise some of the key results of the innovative ideas in Floquet Codes, and provide rigorous proofs of all theorems

We study the theoretical framework of k.p perturbation theory, and then utilise it to numerically show band structures for GaAs Wurtzite.

We study the theoretical framework of Quantum Van der pol oscillators, and then understand its application in Phonon Lasers

We study the construction security and implementation aspects of MQDSS, a MQ-based signature scheme based of the MQ-based identification scheme