Description
Date depot: 30 mars 2018
Titre: Analysis and optimisation of the source of quantum advantage in few-qubit systems.
Directrice de thèse:
Elham KASHEFI (LIP6)
Domaine scientifique: Sciences et technologies de l'information et de la communication
Thématique CNRS : Non defini
Resumé:
Quantum Computing has been a subject of huge interest in recent years, from researchers and the general public alike, due to its intriguing potential for applications which will forever be beyond the reach of classical computing. Despite recent progress in both experimental and theoretical techniques, difficulties in communicating the needs and results of these respective camps has resulted in a lack of major implementable applications for near-term technologies. Indeed existing technology can only reliably produce, maintain and control relatively small numbers of qubits while nevertheless most theoretical work has focussed on idealised situations with unbounded resources. Thus there is a pressing need to reach maximum performance out of what is currently available to us - that is to say few-qubit systems.
The PhD will be focused on analysing the source of quantum advantages over classical computing in few-qubit systems to come up with efficient and implementable applications. From this perspective, it has proven fruitful to investigate the precise sources of quantum advantages over classical systems. A key non-classical phenomenon known as contextuality has been singled out as the essential resource enabling the onset of increased computational power and universal quantum computing in various restricted kinds of hybrid computational models. In other models, however, contextuality cannot even arise, and identification of the precise non-classical behaviour enabling advantages remains open.
The subject of this thesis will be to develop existing work relating contextuality to quantum advantages in quantifiable ways. This will allow to also have a similar account of how related kinds of non-classical behaviour relate to quantum advantages in realistic and implementable models of quantum computation where contextuality in its usual sense cannot be present. For instance we aim to look at a kind of contextuality of transformations in the recently proposed protocols for secure delegated multi-party computing within the quantum cloud platform. We also want to investigate to investigate the interplay of security and non-classical features, which can provide a powerful approach to reasoning about and guiding the design of protocols which can augment and make more intuitive existing purely algebraic approaches.
Doctorant.e: Emeriau Pierre-Emmanuel