Quadrupole transitions and quantum gates protected by continuous dynamic decoupling

authored by: V. J. Martínez-Lahuerta, L. Pelzer, K. Dietze, L. Krinner, P. O. Schmidt, K. Hammerer
Abstract: Dynamical decoupling techniques are a versatile tool for engineering quantum states with tailored properties. In trapped ions, nested layers of continuous dynamical decoupling by means of radio-frequency field dressing can cancel dominant magnetic and electric shifts and therefore provide highly prolonged coherence times of electronic states. Exploiting this enhancement for frequency metrology, quantum simulation or quantum computation, poses the challenge to combine the decoupling with laser-ion interactions for the quantum control of electronic and motional states of trapped ions. Ultimately, this will require running quantum gates on qubits from dressed decoupled states. We provide here a compact representation of nested continuous dynamical decoupling in trapped ions, and apply it to electronic \(S\) and \(D\) states and optical quadrupole transitions. Our treatment provides all effective transition frequencies and Rabi rates, as well as the effective selection rules of these transitions. On this basis, we discuss the possibility of combining continuous dynamical decoupling and Mølmer-Sørensen gates.
Organisation(s): Institute of Theoretical Physics
Institute of Quantum Optics
External Organisation(s): National Metrology Institute of Germany (PTB)
Type: Article
Journal: Quantum Science and Technology
Volume: 9
Publication date: 01.2024
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Materials Science (miscellaneous), Physics and Astronomy (miscellaneous)
Electronic version(s): https://doi.org/10.48550/arXiv.2301.07974 (Access: Open)
https://doi.org/10.1088/2058-9565/ad085b (Access: Open)

BibTeX

@article{3e8523b809404569a6cf4a6a0b9ea1a2,
title = "Quadrupole transitions and quantum gates protected by continuous dynamic decoupling",
abstract = "Dynamical decoupling techniques are a versatile tool for engineering quantum states with tailored properties. In trapped ions, nested layers of continuous dynamical decoupling by means of radio-frequency field dressing can cancel dominant magnetic and electric shifts and therefore provide highly prolonged coherence times of electronic states. Exploiting this enhancement for frequency metrology, quantum simulation or quantum computation, poses the challenge to combine the decoupling with laser-ion interactions for the quantum control of electronic and motional states of trapped ions. Ultimately, this will require running quantum gates on qubits from dressed decoupled states. We provide here a compact representation of nested continuous dynamical decoupling in trapped ions, and apply it to electronic \(S\) and \(D\) states and optical quadrupole transitions. Our treatment provides all effective transition frequencies and Rabi rates, as well as the effective selection rules of these transitions. On this basis, we discuss the possibility of combining continuous dynamical decoupling and M{\o}lmer-S{\o}rensen gates.",
keywords = "quant-ph, quadrupole shift, quadrupole transitions, dynamic decoupling, optical clocks, quantum gates, Zeeman shift, protected transitions",
author = "Mart{\'i}nez-Lahuerta, {V. J.} and L. Pelzer and K. Dietze and L. Krinner and Schmidt, {P. O.} and K. Hammerer",
note = "Acknowledgment We thank PTB{\textquoteright}s unit-of-length working group for providing the stable silicium referenced laser source. Fruitful discussions with Nati Aharon, Alex Retzker and the group of Roee Ozeri helped the deepened understanding of CDD shemes. This joint research project was financally supported by the State of Lower Saxony, Hannover, Germany through Nieders{\"a}chsisches Vorab and by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – Project-ID 274200144 – SFB 1227 (DQ-mat, Projects A06 and B03). This project also received funding from the European Metrology Programme for Innovation and Research (EMPIR) cofinanced by the Participating 5 States and from the European Union{\textquoteright}s Horizon 2020 research and innovation programme (Project No. 20FUN01 TSCAC).",
year = "2024",
month = jan,
doi = "10.48550/arXiv.2301.07974",
language = "English",
volume = "9",
journal = "Quantum Science and Technology",
publisher = "Institute of Physics Publishing",
number = "1",
}