eprintid: 10205174 rev_number: 10 eprint_status: archive userid: 699 dir: disk0/10/20/51/74 datestamp: 2025-02-24 08:08:16 lastmod: 2025-02-24 08:08:16 status_changed: 2025-02-24 08:08:16 type: article metadata_visibility: show sword_depositor: 699 creators_name: Feinstein, Natasha creators_name: Shalashilin, Ivan creators_name: Bose, Sougato creators_name: Warburton, PA title: Robustness of diabatic enhancement in quantum annealing ispublished: pub divisions: UCL divisions: B04 divisions: C06 divisions: F46 divisions: F64 note: Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 license, https://creativecommons.org/licenses/by/4.0/. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. abstract: In adiabatic quantum annealing, the speed with which an anneal can be run, while still achieving a high final ground state (GS) fidelity, is dictated by the size of the minimum gap that appears between the ground and first excited state in the annealing spectrum. To avoid the exponential slowdown associated with exponentially closing gaps, diabatic transitions to higher energy levels may be exploited in such a way that the system returns to the GS before the end of the anneal. In certain cases, this is facilitated by the original annealing spectrum. However, there are also examples where careful manipulation of the annealing Hamiltonian has been used to alter the spectrum to create a diabatic path to the GS. Since diabatic transitions depend on the evolution rate and the gap sizes in the spectrum, it is important to consider the sensitivity of any potential enhancement to changes in the anneal time as well as any parameters involved in the manipulation of the spectrum. We explore this sensitivity using annealing spectra containing an exponentially closing gap and an additional, tuneable, small gap created by a catalyst. We find that there is a trade-off between the precision needed in the catalyst strength and the anneal time in order to maintain the enhancement to the final GS fidelity. date: 2025-04 date_type: published publisher: IOP Publishing Ltd official_url: https://doi.org/10.1088/2058-9565/adab14 oa_status: green full_text_type: pub language: eng primo: open primo_central: open_green verified: verified_manual elements_id: 2363254 doi: 10.1088/2058-9565/adab14 lyricists_name: Warburton, Paul lyricists_name: Feinstein, Natasha lyricists_id: PAWAR27 lyricists_id: NJSFE43 actors_name: Feinstein, Natasha actors_id: NJSFE43 actors_role: owner funding_acknowledgements: EP/S021582/1 [Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266]; EP/T001062/1 [Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266]; [EPSRC] full_text_status: public publication: Quantum Science and Technology volume: 10 number: 2 article_number: 025011 pages: 18 issn: 2058-9565 citation: Feinstein, Natasha; Shalashilin, Ivan; Bose, Sougato; Warburton, PA; (2025) Robustness of diabatic enhancement in quantum annealing. Quantum Science and Technology , 10 (2) , Article 025011. 10.1088/2058-9565/adab14 <https://doi.org/10.1088/2058-9565%2Fadab14>. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/10205174/1/Feinstein_2025_Quantum_Sci._Technol._10_025011.pdf