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

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.

Institute of Theoretical Physics
Institute of Quantum Optics
External Organisation(s)
National Metrology Institute of Germany (PTB)
Quantum Science and Technology
Publication date
Publication status
Peer reviewed
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)