Counterdiabatic driving in the quantum annealing of the p -spin model: A variational approach

Finding the exact counterdiabatic potential is, in principle, particularly demanding. Following recent progress about variational strategies to approximate the counterdiabatic operator, in this paper we apply this technique to the quantum annealing of the p-spin model. In particular, for p=3 we find...

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Bibliographic Details
Published in:Physical review research 2020-03, Vol.2 (1), p.013283, Article 013283
Main Authors: Passarelli, G., Cataudella, V., Fazio, R., Lucignano, P.
Format: Article
Language:English
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Summary:Finding the exact counterdiabatic potential is, in principle, particularly demanding. Following recent progress about variational strategies to approximate the counterdiabatic operator, in this paper we apply this technique to the quantum annealing of the p-spin model. In particular, for p=3 we find a new form of the counterdiabatic potential originating from a cyclic ansatz that allows us to have optimal fidelity even for extremely short dynamics, independently of the size of the system. We compare our results with a nested commutator ansatz, recently proposed in Claeys, Pandey, Sels, and Polkovnikov [Phys. Rev. Lett. 123, 090602 (2019)PRLTAO0031-900710.1103/PhysRevLett.123.090602] for p=1 and p=3. We also analyze generalized p-spin models to get a further insight into our ansatz.
ISSN:2643-1564
2643-1564
DOI:10.1103/PhysRevResearch.2.013283