Time-Optimal Two- and Three-Qubit Gates for Rydberg Atoms

Sven Jandura; Guido Pupillo

doi:10.22331/q-2022-05-13-712

Time-Optimal Two- and Three-Qubit Gates for Rydberg Atoms

Sven Jandura and Guido Pupillo

University of Strasbourg and CNRS, CESQ and ISIS (UMR 7006), aQCess, 67000 Strasbourg, France

Published:	2022-05-13, volume 6, page 712
Eprint:	arXiv:2202.00903v2
Doi:	https://doi.org/10.22331/q-2022-05-13-712
Citation:	Quantum 6, 712 (2022).

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Abstract

We identify time-optimal laser pulses to implement the controlled-Z gate and its three qubit generalization, the C$_2$Z gate, for Rydberg atoms in the blockade regime. Pulses are optimized using a combination of numerical and semi-analytical quantum optimal control techniques that result in smooth Ansätze with just a few variational parameters. For the CZ gate, the time-optimal implementation corresponds to a global laser pulse that does not require single site addressability of the atoms, simplifying experimental implementation of the gate. We employ quantum optimal control techniques to mitigate errors arising due to the finite lifetime of Rydberg states and finite blockade strengths, while several other types of errors affecting the gates are directly mitigated by the short gate duration. For the considered error sources, we achieve theoretical gate fidelities compatible with error correction using reasonable experimental parameters for CZ and C$_2$Z gates.

Featured image: Laser phase as a function of time for the time-optimal pulse implementing a CZ gate.

Popular summary

In this work we apply quantum optimal control techniques to optimize quantum gates on Rydberg atoms. We find the shortest possible global laser pulse to implement at CZ and a C$_2$Z gate in the blockade regime. We show how to adapt the pulses to compensate for a finite Rydberg blockade strength and how to minimize the time spent in the Rydberg state instead of the pulse duration.

► BibTeX data

@article{Jandura2022timeoptimaltwothree,
  doi = {10.22331/q-2022-05-13-712},
  url = {https://doi.org/10.22331/q-2022-05-13-712},
  title = {Time-{O}ptimal {T}wo- and {T}hree-{Q}ubit {G}ates for {R}ydberg {A}toms},
  author = {Jandura, Sven and Pupillo, Guido},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {6},
  pages = {712},
  month = may,
  year = {2022}
}

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