Imperial College London
Professor Florian Mintert

ProfessorFlorianMintert

Faculty of Natural Sciences, Department of Physics

Professor of Physics
 
 
 
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Contact

 

+44 (0)20 7594 0974f.mintert

 
 
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Location

 

Blackett LaboratorySouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Callison:2019:1367-2630/ab5ca2,
author = {Callison, A and Chancellor, N and Mintert, F and Kendon, V},
doi = {1367-2630/ab5ca2},
journal = {New Journal of Physics},
pages = {1--20},
title = {Finding spin glass ground states using quantum walks},
url = {http://dx.doi.org/10.1088/1367-2630/ab5ca2},
volume = {21},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Quantum computation using continuous-time evolution under a natural hardware Hamiltonian is a promising near- and mid-term direction toward powerful quantum computing hardware. We investigate the performance of continuous-time quantum walks as a tool for finding spin glass ground states, a problem that serves as a useful model for realistic optimization problems. By performing detailed numerics, we uncover significant ways in which solving spin glass problems differs from applying quantum walks to the search problem. Importantly, unlike for the search problem, parameters such as the hopping rate of the quantum walk do not need to be set precisely for the spin glass ground state problem. Heuristic values of the hopping rate determined from the energy scales in the problem Hamiltonian are sufficient for obtaining a better quantum advantage than for search. We uncover two general mechanisms that provide the quantum advantage: matching the driver Hamiltonian to the encoding in the problem Hamiltonian, and an energy redistribution principle that ensures a quantum walk will find a lower energy state in a short timescale. This makes it practical to use quantum walks for solving hard problems, and opens the door for a range of applications on suitable quantum hardware.
AU  - Callison,A
AU  - Chancellor,N
AU  - Mintert,F
AU  - Kendon,V
DO  - 1367-2630/ab5ca2
EP  - 20
PY  - 2019///
SN  - 1367-2630
SP  - 1
TI  - Finding spin glass ground states using quantum walks
T2  - New Journal of Physics
UR  - http://dx.doi.org/10.1088/1367-2630/ab5ca2
UR  - https://iopscience.iop.org/article/10.1088/1367-2630/ab5ca2
UR  - http://hdl.handle.net/10044/1/75352
VL  - 21
ER  -
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