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I am interested in the novel features of quantum theory and how they can be used in information processing tasks such as secure communication and computation. Along these lines, I have studied quantum systems in contrast to classical systems, but also in contrast to more general systems.
I have worked on various subjects within quantum information such as quantum computation, quantum random number generation, the characterisation of quantum non-locality, the certification of quantum devices, and computational complexity. I am currently interested in how one can verify quantum computers, certify quantum devices, and develop methods for causal discovery that can be applied to quantum systems. All of my papers can be found as pre-prints on the arXiv here and my Google Scholar profile is here. Below is a selection of the kinds of things I've worked on in the past. |
Quantum Non-locality
A common thread through much of my research is the study of correlations produced by entangled quantum systems, known as quantum non-locality. This is one of the most striking features of quantum theory in contrast to classical theory, and I have studied how it can be used in information tasks such as quantum computing. In the other direction, I have looked at how quantum non-locality may be characterised in terms of its information processing power.
Towards device-independent information processing on general quantum networks
CM Lee, MJ Hoban
Physical Review Letters 120 (2), 020504 (2018)
This work was mentioned in Newsweek and New Scientist
Unbounded randomness certification using sequences of measurements
FJ Curchod, M Johansson, R Augusiak, MJ Hoban, P Wittek, A Acín
Physical Review A 95 (2), 020102(R) (2017)
This was an Editors' Suggestion
Almost quantum correlations
M Navascués, Y Guryanova, MJ Hoban, A Acín
Nature communications 657 (2015)
There is a section in Valerio Scarani's wonderful new textbook devoted to this work
The Fundamentals of Quantum Computation
I am interested in how quantum computers are fundamentally different from other forms of computer, such as classical computation. I have looked at models of computation and their relation to the non-classical features of quantum mechanics. In addition to this, I have studied computation beyond standard quantum computers, such as computation in general physical theories, and post-selected quantum computation.
Measurement-based classical computation
MJ Hoban, JJ Wallman, H Anwar, N Usher, R Raussendorf, DE Browne
Physical Review Letters 112 (14), 14050517 (2014)
In this work we described a new kind of non-classical correlation based in computation
Stronger Quantum Correlations with Loophole-Free Postselection
MJ Hoban, DE Browne
Physical Review Letters 107 (12), 1204026 (2011)
Here we demonstrated that Measurement-Based Quantum Computing must exhibit quantum non-locality
The computational landscape of general physical theories
J Barrett, N de Beaudrap, MJ Hoban, CM Lee
npj Quantum Information 5 (1), 41 (2019)
We develop a sensible yet powerful model of computation that can simulate quantum computation
