Description
Date depot: 24 septembre 2023
Titre: Higher-Order Quantum Operations : Foundations and Applications
Directeur de thèse:
Damian MARKHAM (LIP6)
Encadrant :
Marco Túlio QUINTINO (LIP6)
Domaine scientifique: Sciences et technologies de l'information et de la communication
Thématique CNRS : Algorithmique quantique
Resumé: The goal of this project is to have a better comprehension of higher order quantum oprations (HOQO) and to study causality in quantum theory. Our goals include analysing, seeking for applications using the current tools, provide new computational and mathematical methods for HOQO, and mainly, to propose new scenarios. In particular, we will start the PhD project by proposing a new HOQO scenario where the final operation is applied to a quantum state which is known by the user. This new scenario has a big practical appealing, since for many applications, such as, making use of a quantum oracle, the user has a desired known quantum input-state, hence the results for arbitrary states presented today might be an “overkill'' to the problem. Together with a practical oriented research, we will also conduct a foundational research direction, focused on causality in the context of quantum theory. In this foundational part of the research, we will consider HOQO which are in agreement with quantum postulates, but may not be described by a process with a definite causal order. Examples of such process include the notorious quantum switch Phys. Rev. A 88, 022318 (2013).
Doctorant.e: Brzić Vanessa