Simulation and dynamics of entanglement and quantum information in strongly correlated systems

Quantum information theory is the study of how information can be encoded, measured, and manipulated in quantum systems. A notable subfield of it is quantum computation which studies protocols and algorithms that use quantum systems to perform computations. Quantum information provides a powerful new perspective on the framework of quantum many body physics that looks beyond traditional quantities such as correlation and partition functions to describe systems. Concepts such as entanglement and complexity yield valuable new insights into many aspects of quantum systems such as their ground states properties, their phases and of course, their dynamical properties. Furthermore it has inspired very powerful methods, such as tensor networks, to study quantum systems.
In this work I study dynamical processes of many body systems from a quantum information perspective and some practical applications in quantum computing and simulation, such as the realization of a Toffoli gate and tunable Ising Hamiltonian in trapped ion platforms. I use tensor network methods to study the relation between scrambling of information and non-locality in 1D systems and also explore the forefront of these methods to study dynamics in 2D systems, using what is known as Projected Entangled Pair States.