Signatures of non-Markovianity of a superconducting qubit

Gulacsi, Balazs; Burkard, Guido

Signatures of non-Markovianity of a superconducting qubit

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Datum

2023

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Physical Review B. American Physical Society (APS). 2023, 107(17), 174511. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/physrevb.107.174511

Zusammenfassung

We describe temporally correlated noise processes that influence the idle evolution of a superconducting transmon qubit. To model the composite qubit-environment system we use quantum circuit theory, and we show how a circuit Hamiltonian can be derived for transverse noise affecting the qubit. Based on the time-convolutionless projection operator method, we construct a time-local master equation which, when transformed to its canonical Lindblad form, exhibits a decay rate that is negative at all times, corresponding to eternally non-Markovian dynamics. By expressing the solution of the master equation in the Kraus representation, we identify two crucial non-Markovian phenomena: periodic revivals of coherence, and the appearance of additional frequencies far from the qubit frequency in the precession of the qubit state. When a single qubit gate acts on the qubit state, these extra frequency terms rotate undesirably and they effectively act as the memory of the state prior to the rotation around the Bloch sphere.

Fachgebiet (DDC)

530 Physik

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ISO 690

GULACSI, Balazs, Guido BURKARD, 2023. Signatures of non-Markovianity of a superconducting qubit. In: Physical Review B. American Physical Society (APS). 2023, 107(17), 174511. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/physrevb.107.174511

BibTex

@article{Gulacsi2023Signa-67052,
  year={2023},
  doi={10.1103/physrevb.107.174511},
  title={Signatures of non-Markovianity of a superconducting qubit},
  number={17},
  volume={107},
  issn={2469-9950},
  journal={Physical Review B},
  author={Gulacsi, Balazs and Burkard, Guido},
  note={Article Number: 174511}
}

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