TY - JOUR

T1 - Quadrupole transitions and quantum gates protected by continuous dynamic decoupling

AU - Martínez-Lahuerta, V. J.

AU - Pelzer, L.

AU - Dietze, K.

AU - Krinner, L.

AU - Schmidt, P. O.

AU - Hammerer, K.

N1 - Acknowledgment We thank PTB’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 Niedersächsisches 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’s Horizon 2020 research and innovation programme (Project No. 20FUN01 TSCAC).

PY - 2024/1

Y1 - 2024/1

N2 - 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.

AB - 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.

KW - quant-ph

KW - quadrupole shift

KW - quadrupole transitions

KW - dynamic decoupling

KW - optical clocks

KW - quantum gates

KW - Zeeman shift

KW - protected transitions

UR - http://www.scopus.com/inward/record.url?scp=85177580802&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2301.07974

DO - 10.48550/arXiv.2301.07974

M3 - Article

VL - 9

JO - Quantum Science and Technology

JF - Quantum Science and Technology

IS - 1

M1 - 015013

ER -