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Michael Bremner
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Characterizing quantum supremacy in near-term devices
S Boixo, SV Isakov, VN Smelyanskiy, R Babbush, N Ding, Z Jiang, ...
Nature Physics 14 (6), 595-600, 2018
12992018
Classical simulation of commuting quantum computations implies collapse of the polynomial hierarchy
MJ Bremner, R Jozsa, DJ Shepherd
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2011
4882011
Average-case complexity versus approximate simulation of commuting quantum computations
MJ Bremner, A Montanaro, DJ Shepherd
Physical review letters 117 (8), 080501, 2016
3372016
Practical scheme for quantum computation with any two-qubit entangling gate
MJ Bremner, CM Dawson, JL Dodd, A Gilchrist, AW Harrow, D Mortimer, ...
Physical review letters 89 (24), 247902, 2002
3212002
Temporally unstructured quantum computation
D Shepherd, MJ Bremner
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2009
2182009
Quantum dynamics as a physical resource
MA Nielsen, CM Dawson, JL Dodd, A Gilchrist, D Mortimer, TJ Osborne, ...
Physical Review A 67 (5), 052301, 2003
2132003
Achieving quantum supremacy with sparse and noisy commuting quantum computations
MJ Bremner, A Montanaro, DJ Shepherd
Quantum 1, 8, 2017
2112017
Quantum sampling problems, BosonSampling and quantum supremacy
AP Lund, MJ Bremner, TC Ralph
npj Quantum Information 3 (1), 15, 2017
2002017
Measuring two-qubit gates
AG White, A Gilchrist, GJ Pryde, JL O'Brien, MJ Bremner, NK Langford
JOSA B 24 (2), 172-183, 2007
1682007
Universal quantum computation and simulation using any entangling Hamiltonian and local unitaries
JL Dodd, MA Nielsen, MJ Bremner, RT Thew
Physical Review A 65 (4), 040301, 2002
1652002
Are Random Pure States Useful for Quantum Computation?
MJ Bremner, C Mora, A Winter
Physical review letters 102 (19), 190502, 2009
1462009
Universal simulation of Hamiltonian dynamics for quantum systems with finite-dimensional state spaces
MA Nielsen, MJ Bremner, JL Dodd, AM Childs, CM Dawson
Physical Review A 66 (2), 022317, 2002
1212002
Quantum simulation of interacting high-dimensional systems: The influence of noise
W Dür, MJ Bremner, HJ Briegel
Physical Review A 78 (5), 052325, 2008
452008
Fungible dynamics: There are only two types of entangling multiple-qubit interactions
MJ Bremner, JL Dodd, MA Nielsen, D Bacon
Physical Review A 69 (1), 012313, 2004
312004
Simulating Hamiltonian dynamics using many-qudit Hamiltonians and local unitary control
MJ Bremner, D Bacon, MA Nielsen
Physical Review A 71 (5), 052312, 2005
222005
Approximation algorithms for complex-valued Ising models on bounded degree graphs
RL Mann, MJ Bremner
Quantum 3, 162, 2019
182019
On the complexity of random quantum computations and the Jones polynomial
RL Mann, MJ Bremner
arXiv preprint arXiv:1711.00686, 2017
142017
Transversal injection for direct encoding of ancilla states for non-Clifford gates using stabilizer codes
J Gavriel, D Herr, A Shaw, MJ Bremner, A Paler, SJ Devitt
Physical Review Research 5 (3), 033019, 2023
6*2023
IQP Sampling and Verifiable Quantum Advantage: Stabilizer Scheme and Classical Security
MJ Bremner, B Cheng, Z Ji
arXiv preprint arXiv:2308.07152, 2023
22023
Quantum Parameterized Complexity
MJ Bremner, Z Ji, RL Mann, L Mathieson, MES Morales, ATE Shaw
arXiv preprint arXiv:2203.08002, 2022
22022
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