We present a study of the digitized quantum annealing protocol proposed by R. Barends et al. [Nature (London) 534, 222 (2016)NATUAS0028-083610.1038/nature17658]. Our analysis, performed on the benchmark case of a transverse Ising chain problem, shows that the algorithm has a well-defined optimal working point for the annealing time τPopt, scaling as τPopt∼P, where P is the number of digital Trotter steps, beyond which the residual energy error shoots up toward the value characteristic of the maximally disordered state. We present an analytical analysis for the translationally invariant transverse Ising chain case, but our numerical evidence suggests that this scenario is more general, surviving, for instance, the presence of disorder.

Optimal working point in digitized quantum annealing / Mbeng, G. B.; Arceci, L.; Santoro, G. E.. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - 100:22(2019), pp. 1-10. [10.1103/PhysRevB.100.224201]

Optimal working point in digitized quantum annealing

Mbeng G. B.;Arceci L.;Santoro G. E.
2019

Abstract

We present a study of the digitized quantum annealing protocol proposed by R. Barends et al. [Nature (London) 534, 222 (2016)NATUAS0028-083610.1038/nature17658]. Our analysis, performed on the benchmark case of a transverse Ising chain problem, shows that the algorithm has a well-defined optimal working point for the annealing time τPopt, scaling as τPopt∼P, where P is the number of digital Trotter steps, beyond which the residual energy error shoots up toward the value characteristic of the maximally disordered state. We present an analytical analysis for the translationally invariant transverse Ising chain case, but our numerical evidence suggests that this scenario is more general, surviving, for instance, the presence of disorder.
100
22
1
10
224201
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.100.224201
https://arxiv.org/abs/1909.00817v1
Mbeng, G. B.; Arceci, L.; Santoro, G. E.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/110256
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