Measures of quantum entanglement

Lead Research Organisation: University of Southampton
Department Name: School of Mathematics


In this project we will explore measures of quantum entanglement in a quantum field theory, with a view to defining robust measures that are independent of the regularisation scheme.
Abstract: These first nine months as a PhD student have been devoted to the study of
the BMS group and its relation to the problem of flat holography. Despite the bustling
interest in this field in the last four years, several questions are still open and need to be
answered. One of them, and probably a crucial one, is the understanding of superrotations.
Superrotations are an extension of the Lorentz part of the BMS group and their appeal is
that in four dimensions they are Virasoro-like. Unfortunately they are plagued by singularities
and their behaviour is not understood. Even less understood is their role in higher
dimensions. Currently there is agreement on the fact that the Lorentz part of the BMS
group must experience an extension. Apart from superrotations as Virasoro symmetries,
also another interesting proposal has been advanced. At the moment there is no way to
prefer one or the other. We have focused on this topic and we have explored several ideas
in order to tackle the problem of higher dimensional superrotations.


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Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N509747/1 01/10/2016 30/09/2021
1948860 Studentship EP/N509747/1 28/09/2017 27/12/2020 Federico Capone
Description The award is still active. In the first two years I studied fundamental aspects of symmetries of gravitational systems including black holes. Black holes can be considered the most efficient quantum computers and are called fast scramblers. The last property is related to information spreading, entanglement and chaos in quantum systems. Is mandatory to gain an understanding of these matters in order to reach the aim of implementing efficient quantum technologies in everyday life. My study on symmetries of gravitational systems ultimately will result in a deeper understanding of the fundamental aspects of such topics. The results up to this points concern asymptotic symmetry structures on higher dimensional spacetimes and their relationship with realistic spacetimes in four dimensions. Asymptotic symmetries are formally symmetries which arise far away from the core of the system. However, because the nature of this far away region is similar to the event horizon of a black hole, the same structures are likely to be relevant for black hole physics and the questions outlined above.
Exploitation Route At the moment the immediate sector in which these outcomes can be taken and put to use is mostly academic research to which they will serve as stepping stones for further investigations.
Sectors Other