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Mathematical and Statistical Sciences

Dr Mark Howard

B.Sc., M.A., PhD.

Contact Details

Lecturer - Contract Type B
School of Mathematics
University of Galway
E: mark.howard@universityofgalway.ie

Biography

I am a Lecturer in Applied Mathematics and Mathematics in the School of Mathematical and Statistical Sciences.

During the period 2019-2023 I was a Royal Society-Science Foundation Ireland University Research Fellow based at the University of Galway. More information about this award available here:

https://royalsociety.org/grants-schemes-awards/grants/university-research/

More information about my research is available at

https://markhoward.info/

Research Interests

I am interested in quantum information theory, including

Quantum Error-Correction and Fault-tolerance

Stabilizer formalism (generalization to d-level systems, quantum error-correcting codes, Gottesman-Knill theorem)
Clifford group (and classical simulability, representation via SL(2,p))
Magic state distillation

Quantum Foundations

Discrete Wigner functions (negative quasiprobabilities, Galois fields, relationship with G-K theorem)
Mutually unbiased bases, SIC-POVMs, quantum Bayesianism
Nonlocality & Contextuality

as well as

Quantum Circuit Simulation
Quantum Software

Peer Reviewed Journals

	Year	Publication
	(2022)	'Quantum Advantage in Information Retrieval' Emeriau, Pierre-Emmanuel and Howard, Mark and Mansfield, Shane (2022) 'Quantum Advantage in Information Retrieval'. PRX Quantum, 3 [DOI] [Details]
	(2020)	'Lower bounds on the non-Clifford resources for quantum computations' Beverland, M.; Campbell, E.; Howard, M.; Kliuchnikov, V. (2020) 'Lower bounds on the non-Clifford resources for quantum computations'. Quantum Science and Technology, [DOI] [ARAN Link] [Details]
	(2019)	'Simulation of quantum circuits by low-rank stabilizer decompositions' Bravyi, Sergey and Browne, Dan and Calpin, Padraic and Campbell, Earl and Gosset, David and Howard, Mark (2019) 'Simulation of quantum circuits by low-rank stabilizer decompositions'. Quantum, 3 [DOI] [ARAN Link] [Details]
	(2018)	'Magic state parity-checker with pre-distilled components' Earl T. Campbell and Mark Howard (2018) 'Magic state parity-checker with pre-distilled components'. Quantum, 2 [DOI] [Details]
	(2017)	'Unifying Gate Synthesis and Magic State Distillation' Campbell, Earl T and Howard, Mark (2017) 'Unifying Gate Synthesis and Magic State Distillation'. Physical Review Letters, 118 (6) [Details]
	(2017)	'Application of a resource theory for magic states to fault-tolerant quantum computing' Howard, Mark and Campbell, Earl (2017) 'Application of a resource theory for magic states to fault-tolerant quantum computing'. Physical Review Letters, 118 (9) [Details]
	(2017)	'Unified framework for magic state distillation and multiqubit gate synthesis with reduced resource cost' Campbell, Earl T and Howard, Mark (2017) 'Unified framework for magic state distillation and multiqubit gate synthesis with reduced resource cost'. Physical Review A, 95 (2) [Details]
	(2016)	'Small codes for magic state distillation' Howard, Mark and Dawkins, Hillary (2016) 'Small codes for magic state distillation'. The European Physical Journal D, 70 (3) [Details]
	(2015)	'Classical codes in quantum state space' Howard, Mark (2015) 'Classical codes in quantum state space'. Journal of Physics A, 48 (49) [Details]
	(2015)	'Maximum nonlocality and minimum uncertainty using magic states' Howard, Mark (2015) 'Maximum nonlocality and minimum uncertainty using magic states'. Physical Review A, 91 (4) [Details]
	(2015)	'Qutrit Magic State Distillation Tight in Some Directions' Dawkins, Hillary and Howard, Mark (2015) 'Qutrit Magic State Distillation Tight in Some Directions'. Physical review letters, 115 (3) [Details]
	(2014)	'Order 3 symmetry in the Clifford hierarchy' Bengtsson, Ingemar and Blanchfield, Kate and Campbell, Earl and Howard, Mark (2014) 'Order 3 symmetry in the Clifford hierarchy'. Journal of Physics A: Mathematical and Theoretical, 47 (45) [Details]
	(2014)	'Contextuality supplies the â€˜magicâ€™ for quantum computation' Howard, Mark and Wallman, Joel J and Veitch, Victor and Emerson, Joseph (2014) 'Contextuality supplies the â€˜magicâ€™ for quantum computation'. Nature, 510 :351-355 [Details]
	(2013)	'Quantum Contextuality with Stabilizer States' Howard, Mark and Brennan, Eoin and Vala, Jiri (2013) 'Quantum Contextuality with Stabilizer States'. Entropy, 15 (6):2340-2362 [Details]
	(2012)	'Nonlocality as a benchmark for universal quantum computation in Ising anyon topological quantum computers' Howard, Mark and Vala, Jiri (2012) 'Nonlocality as a benchmark for universal quantum computation in Ising anyon topological quantum computers'. Physical Review A, 85 [Details]
	(2012)	'Qudit versions of the qubit $\pi$/8 gate' Howard, Mark and Vala, Jiri (2012) 'Qudit versions of the qubit $\pi$/8 gate'. Physical Review A, 86 (2) [Details]
	(2011)	'Bipartite entangled stabilizer mutually unbiased bases as maximum cliques of Cayley graphs' van Dam, Wim and Howard, Mark (2011) 'Bipartite entangled stabilizer mutually unbiased bases as maximum cliques of Cayley graphs'. Physical Review A, 84 (1) [Details]
	(2011)	'Noise thresholds for higher-dimensional systems using the discrete Wigner function' van Dam, Wim and Howard, Mark (2011) 'Noise thresholds for higher-dimensional systems using the discrete Wigner function'. Physical Review A, 83 (3) [Details]
	(2009)	'Tight noise thresholds for quantum computation with perfect stabilizer operations' Van Dam, Wim and Howard, Mark (2009) 'Tight noise thresholds for quantum computation with perfect stabilizer operations'. Physical Review Letters, 103 [Details]
	(2006)	'Quantum process tomography and Linblad estimation of a solid-state qubit' Howard, M and Twamley, J and Wittmann, C and Gaebel, T and Jelezko, F and Wrachtrup, J (2006) 'Quantum process tomography and Linblad estimation of a solid-state qubit'. New Journal of Physics, 8 [Details]