Abstract

We present a comparative analysis of physical constraints limiting the quality of spin entanglement created using the Rydberg blockade technique in an ensemble of trapped neutral ${^{87}{\text{Rb}}}$ atoms. Based on the approach developed earlier in Phys. Rev. A 106, 042410 (2022) [CrossRef]  , we consider the complete multilevel Zeeman structure of the interacting atoms and apply our simulations to two excitation geometries featured by different transition types, both feasible for experimental verification. We demonstrate that the blockade shift strongly depends not only on the interatomic separation but also on the angular position of the atom pair with respect to the quantization axis determined by polarization of the driving fields. As an example, we have estimated fidelity for a promising design of a CZ gate, recently proposed by Levine et al. [Phys. Rev. Lett. 123, 230501 (2019) [CrossRef]  ] for various possible experimental geometries. Anisotropic effects in entangling gates considered here are important for the optimal choice of proper geometry for quantum computing in two- and three-dimensional arrays of atomic qubits and are of considerable interest for quantum simulators, especially those that are designed for anisotropic physical models.

© 2023 Optica Publishing Group

Adiabatic and high-fidelity quantum gates with hybrid Rydberg-Rydberg interactions

Dongmin Yu, Han Wang, Dandan Ma, Xingdong Zhao, and Jing Qian
Opt. Express 27(16) 23080-23094 (2019)

Off-resonant modulated driving gate protocols for two-photon ground-Rydberg transition and finite Rydberg blockade strength

Yuan Sun
Opt. Express 31(2) 3114-3121 (2023)

All-optical quantum information processing via a single-step Rydberg blockade gate

Mohammadsadegh Khazali
Opt. Express 31(9) 13970-13980 (2023)

Resonance-enhanced collective effect in a triangle arrangement of Rydberg atoms with anisotropic interactions

Jing Qian
J. Opt. Soc. Am. B 33(8) 1749-1755 (2016)

Dipole blockade in a cold Rydberg atomic sample [Invited]

Daniel Comparat and Pierre Pillet
J. Opt. Soc. Am. B 27(6) A208-A232 (2010)