Jaksch gate

Control qubit: pi - 0 - pi

Target qubit 0 - 2pi - 0

coupling $\left|0\right> \rightarrow \left|r\right>$

$$ \left|00\right>: \left|0\right>_c\left|0\right>_t \rightarrow \left|0\right>_c\left|0\right>_t $$

Theory:

D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté, and M. D. Lukin, Fast Quantum Gates for Neutral Atoms, Phys. Rev. Lett. 85, 2208 (2000).

Experiment:

L. Isenhower, E. Urban, X. L. Zhang, A. T. Gill, T. Henage, T. A. Johnson, T. G. Walker, and M. Saffman, Demonstration of a Neutral Atom Controlled-NOT Quantum Gate, Phys. Rev. Lett. 104, 010503 (2010).

Levine-Pichler gate

H. Levine et al., Parallel Implementation of High-Fidelity Multiqubit Gates with Neutral Atoms, Phys. Rev. Lett. 123, 170503 (2019).

Weak interaction gate (Jo gate)