The Role of Symmetries in Entanglement Manipulation and Quantum Gates

Symmetry is a key to many physics phenomena. It occurs in, e.g., arrangements of atoms forming symmetric lattices, or via ordering in electron systems resulting in, e.g., non-coplanar magnetic ordering. It also plays an important role in classical information processing. I will show how symmetry emerges in driven multi-state quantum systems used to implement quantum gates in gate-based quantum information processing. While often not explicitly acknowledged, it is intimately related to the ability to process information. For instance, just like in many other phenomena, change of symmetry can be related to dramatic change in accessible qubits' evolution patterns - to their ability to alter and propagate quantum entanglement.