I have worked on various subjects within quantum information and the foundations of quantum theory such as quantum computation, quantum random number generation, the characterisation of quantum non-locality, the certification of quantum devices, and computation in theories beyond quantum theory. I am currently interested in how one can verify quantum computers, certify quantum devices given limited information about them, and developing methods for quantum causal discovery. |

**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 physics, 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.

**Characterisation of Quantum Non-locality**

*Almost quantum correlations*

M Navascués, Y Guryanova, MJ Hoban, A Acín

Nature communications 657 (2015)

*Stronger Quantum Correlations with Loophole-Free Postselection*

MJ Hoban, DE Browne

Physical Review Letters 107 (12), 1204026 (2011)

**Quantum Non-locality and Random Number Certification**

*A Single Entangled System Is an Unbounded Source of Nonlocal Correlations and of Certified Random Numbers*

FJ Curchod, M Johansson, R Augusiak, MJ Hoban, P Wittek, A Acín

LIPIcs-Leibniz International Proceedings in Informatics 73 (2018)

*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)

*Maximally nonlocal theories cannot be maximally random*

G de la Torre, MJ Hoban, C Dhara, G Prettico, A Acín

Physical Review Letters 114 (16), 160502 (2015)

**EPR-steering**

*Self-testing through EPR-steering*

I Šupić, MJ Hoban

New Journal of Physics 18 (7), 075006 (2016)

*A channel-based framework for steering, non-locality and beyond*

MJ Hoban, AB Sainz

New J. Phys. 2018, in press https://doi.org/10.1088/1367-2630/aabea8

*A formalism for steering with local quantum measurements*

AB Sainz, L Aolita, M Piani, MJ Hoban, P Skrzypczyk

arXiv:1708.00756 (2017)

**Quantum networks**

*Towards device-independent information processing on general quantum networks*

CM Lee, MJ Hoban

Physical Review Letters 120 (2), 020504 (2018)

**The Foundations 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.

**Quantum Non-locality and Quantum Computation**

*Majorana fermions and non-locality*

ET Campbell, MJ Hoban, J Eisert

Quantum Information & Computation 14 (11-12), 981-9955 (2014)

*Measurement-based classical computation*

MJ Hoban, JJ Wallman, H Anwar, N Usher, R Raussendorf, DE Browne

Physical Review Letters 112 (14), 14050517 (2014)

*Generalized Bell-inequality experiments and computation*

MJ Hoban, JJ Wallman, DE Browne

Physical Review A 84 (6), 06210710 (2011)

*Non-adaptive measurement-based quantum computation and multi-party Bell inequalities*

MJ Hoban, ET Campbell, K Loukopoulos, DE Browne

New Journal of Physics 13 (2), 023014 (2011)

**Computation in General Probabilistic Theories**

*The computational landscape of general physical theories*

J Barrett, N de Beaudrap, MJ Hoban, CM Lee

arXiv:1702.08483 (2017)

*The Information Content of Systems in General Physical Theories*

CM Lee, MJ Hoban

In A. A. Abbott and D. C. Horsman: Proceedings of the 7th International Workshop on

*Physics and Computation*(PC 2016), Manchester, UK, 14 July 2016, Electronic Proceedings in Theoretical Computer Science 214, pp. 22–28 (2016)

*Bounds on the power of proofs and advice in general physical theories*

CM Lee, MJ Hoban

Proc. R. Soc. A 472 (2190), 20160076 (2016)

**Quantum Computation with Post-selection**

*Non-Unitary Quantum Computation in the Ground Space of Local Hamiltonians*

N Usher, MJ Hoban, DE Browne

arXiv:1703.08118 (2017)

**Verification of Quantum Computation**

*A simple protocol for fault tolerant verification of quantum computation*

A Gheorghiu, MJ Hoban, E Kashefi

arXiv:1804.06105 (2018)