TY - JOUR

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

AU - Vybornyi, I.

AU - Gerasimov, L. V.

AU - Kupriyanov, D. V.

AU - Straupe, S. S.

AU - Tikhonov, K. S.

N1 - Funding Information: Russian Science Foundation (18-72-10039, 23-72-10012); Roadmap for Quantum Computing (868-1.3-15/15-2021 dated October 5, 2021, P2154 dated November 24, 2021); Foundation for the Advancement of Theoretical Physics and Mathematics (23-1-2-37-1); Interdisciplinary Scientific and Educational School of Moscow University Photonic and Quantum Technologies, Digital Medicine. This work (excluding the contribution of I.V.) was supported by Rosatom in the framework of the Roadmap for Quantum computing. S.S.S., D.V.K., and L.V.G. acknowledge support from the Russian Science Foundation (Project No. 18-72-10039). S.S.S., K.S.T., D.V.K., and L.V.G. acknowledge support from the Russian Science Foundation (Project No. 23-72-10012). S.S.S. acknowledges support by the Interdisciplinary Scientific and Educational School of Moscow University Photonic and Quantum Technologies, Digital Medicine. L.V.G. acknowledges support from the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS.” Funding Information: Acknowledgment. This work (excluding the contribution of I.V.) was supported by Rosatom in the framework of the Roadmap for Quantum computing. S.S.S., D.V.K., and L.V.G. acknowledge support from the Russian Science Foundation (Project No. 18-72-10039). S.S.S., K.S.T., D.V.K., and L.V.G. acknowledge support from the Russian Science Foundation (Project No. 23-72-10012). S.S.S. acknowledges support by the Interdisciplinary Scientific and Educational School of Moscow University Photonic and Quantum Technologies, Digital Medicine. L.V.G. acknowledges support from the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS.”

PY - 2023/12/8

Y1 - 2023/12/8

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 neutral87Rb atoms. Based on the approach developed earlier in Phys. Rev. A 106, 042410 (2022), 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)] 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 neutral87Rb atoms. Based on the approach developed earlier in Phys. Rev. A 106, 042410 (2022), 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)] 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.

UR - http://www.scopus.com/inward/record.url?scp=85182393350&partnerID=8YFLogxK

U2 - 10.1364/JOSAB.504629

DO - 10.1364/JOSAB.504629

M3 - Article

AN - SCOPUS:85182393350

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 -