Understanding quantum teleportation via SIMPS formalism of tensor networks

Abstract

The goal of this thesis is to explore a new formalism of Tensor Networks called SIMPS and review its feasibility at tackling the computational challenges posed by many-body systems. We will start this thesis with the review of some foundational concepts of quantum mechanics and quantum information, and we review the existing formalism of TNs. Afterwards, we will review the literature by David. T. Stephen [27] [26] which introduces the SIMPS formalism and proceed to investigating the cases where SIMPS provides obvious computational advantages over existing formalisms.