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Ultrafast critical ground state preparation via bang-bang protocols

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dc.affiliation.dptoUC3M. Departamento de Físicaes
dc.contributor.authorInnocenti, Luca
dc.contributor.authorChiara, Gabriele de
dc.contributor.authorPaternostro, Mauro
dc.contributor.authorPuebla Antunes, Ricardo
dc.date.accessioned2023-08-29T08:03:10Z
dc.date.available2023-08-29T08:03:10Z
dc.date.issued2020-09
dc.description.abstractThe fast and faithful preparation of the ground state of quantum systems is a challenging but crucial task for several applications in the realm of quantum-based technologies. Decoherence limits the maximum time-window allowed to an experiment to faithfully achieve such desired states. This is of particular significance in systems featuring a quantum phase transition, where the vanishing energy gap challenges an adiabatic ground state preparation. We show that a bang-bang protocol, consisting of a time evolution under two different values of an externally tunable parameter, allows for a high-fidelity ground state preparation in evolution times no longer than those required by the application of standard optimal control techniques, such as the chopped-random basis quantum optimization. In addition, owing to their reduced number of variables, such bang-bang protocols are very well suited to optimization tasks, reducing the high computational cost of other optimal control protocols. We benchmark the performance of such approach through two paradigmatic models, namely the Landau-Zener and the Lipkin-Meshkov-Glick model. Remarkably, we find that the critical ground state of the latter model, i.e. its ground state at the critical point, can be prepared with a high fidelity in a total evolution time that scales slower than the inverse of the vanishing energy gap.en
dc.description.sponsorshipThe authors acknowledge helpful discussions with Tommaso Calarco, Steve Campbell and Simone Montangero, as well as the support by the SFI-DfE Investigator Programme (Grant 15/IA/2864), the UK EPSRC (Grant number EP/S02994X/1), the H2020 Collaborative Project TEQ (Grant agreement 766900), the Leverhulme Trust Research Project Grant UltraQuTe (Grant RGP-2018-266) and the Royal Society Wolfson Fellowship (RSWF/R3/183013).en
dc.format.extent12
dc.identifier.bibliographicCitationInnocenti, L., De Chiara, G., Paternostro, M., & Puebla, R. (2020). Ultrafast critical ground state preparation via Bang–bang protocols. New Journal of Physics, 22(9), 093050.en
dc.identifier.doihttps://doi.org/10.1088/1367-2630/abb1df
dc.identifier.issn1367-2630
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue093050
dc.identifier.publicationlastpage12
dc.identifier.publicationtitleNew Journal of Physicsen
dc.identifier.publicationvolume22
dc.identifier.urihttps://hdl.handle.net/10016/38122
dc.identifier.uxxiAR/0000030989
dc.language.isoengen
dc.publisherIOP Scienceen
dc.rights© 2020 The Author(s).en
dc.rightsAtribución 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaFísicaes
dc.subject.otherQuantum controlen
dc.subject.otherQuantum phase transitionsen
dc.subject.otherQuantum optimal protocolsen
dc.titleUltrafast critical ground state preparation via bang-bang protocolsen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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