TY - JOUR

T1 - Influence of the interaction geometry on the fidelity of the two-qubit Rydberg blockade gate

AU - Выборный, Иван Михайлович

AU - Герасимов, Леонид

AU - Куприянов, Дмитрий Васильевич

AU - Страупе, Станислав Сергеевич

AU - Тихонов, Кирилл Сергеевич

PY - 2024/1

Y1 - 2024/1

N2 - 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 Rb atoms. Based on the approach developed earlier in Phys. Rev. A 106 , 042410 ( 2022 ) PLRAAN 1050-2947 10.1103/PhysRevA.106.042410 , 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 ) PRLTAO 0031-9007 10.1103/PhysRevLett.123.230501 ] 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.

AB - 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 Rb atoms. Based on the approach developed earlier in Phys. Rev. A 106 , 042410 ( 2022 ) PLRAAN 1050-2947 10.1103/PhysRevA.106.042410 , 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 ) PRLTAO 0031-9007 10.1103/PhysRevLett.123.230501 ] 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.

KW - Ридберговские состояния

KW - квантовые вентили

KW - квантовые логические операции

KW - Квантовая оптика

KW - Квантовое запутывание

UR - https://www.mendeley.com/catalogue/43555489-b331-3820-a3a6-a8498c60293a/

U2 - 10.1364/josab.504629

DO - 10.1364/josab.504629

M3 - Article

VL - 41

SP - 134

EP - 142

JO - Journal of the Optical Society of America B: Optical Physics

JF - Journal of the Optical Society of America B: Optical Physics

SN - 0740-3224

IS - 1

ER -