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Trapped ion quantum simulators: from topological models to applications in real life problems.

AuthorsPorras, Diego
Issue Date2-Sep-2019
CitationQion 2019 - International Workshop (2019)
AbstractIn the first part of my talk I will present some relatively recent theoretical results on the quantum simulation of topological models with trapped ions [P. Nevado et al. Phys. Rev. Lett. 119, 210401 (2017)]. I will show that Floquet engineering can be used to transform the usual trapped ion Ising model into a topological spin chain with edge-state solutions that are localzed at the ends of the chain. Since trapped ion Ising interactions can be long-range, the resulting topological model can be used to investigate the interplay between interaction range and topological properties. In the second part I will present some on-going work on the applications of quantum computers and quantum simulators in the solution of optimization problems. In particular, some optimizacion problems of relevance in finance can be mapped into classical Ising models and solved dynamically by means of methods such as quantum annealing or the Quantum Optimizacion Approximate Algorithm, for example. I will discuss advantages and disadvantages of trapped ions for this short-term applications, as well as the particular challenges faced when dealing with practical problems.
DescriptionConferencia invitada. -- Qion 2019, WG2/WG3 Cost meeting, Carlton Tel-Aviv Hotel, 02-05 September 2019. -- https://www.qion19.org/
Appears in Collections:(CFMAC-IFF) Comunicaciones congresos
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