Research

• Stabilizer states and graph states are important classes of quantum states used for error correction protocols and many more applications. We devise a protocol to localize entanglement in noisy stabilizer states which arise naturally as one tries to create such states in laboratories. 

• Topological phases of matter have attracted interest in recent times. As one perturbs such phases, there can be quantum phase transition from topological to non-topological phases. We study such a phase transition with the previously developed tool to localize entanglement.

• In 2D systems, the nature of boundary conditions can largely affect the robustness of the system against local perturbations. We observe such an enhancement in robustness in the topological quantum phase transition of the celebrated Kitaev model. 

• Entanglement is an important resource for many quantum information protocols. We study interesting entanglement properties of such resource states.  

• The isotropic Heisenberg model on a 2D lattice is an important quantum many-body model. We show that under certain conditions, such a system can be effectively described by a 1D model. We also propose a method to transfer quantum states along different points on a 2D lattice.