TY - JOUR

T1 - Parallel Implementation of CNOTN and C2NOT2 Gates via Homonuclear and Heteronuclear Förster Interactions of Rydberg Atoms

AU - M. Farouk, Ahmed

AU - Beterov, Ilya I.

AU - Xu , Peng

AU - Bergamini , Silvia

AU - Ryabtsev , Igor I.

N1 - This work is supported by the Russian Science Foundation (Grant No. 23-42-00031) https://rscf.ru/project/23-42-00031/ (accessed on 16 November 2023). A. Farouk is funded by the joint executive educational program between Egypt and Russia (EGY-6544/19). P. Xu acknowledges funding support from the National Key Research and Development Program of China (Grant №2021YFA1402001), the Youth Innovation Promotion Association CAS №Y2021091.

PY - 2023/11

Y1 - 2023/11

N2 - We analyze schemes of high-fidelity multi-qubit CNOT (Formula presented.) and C (Formula presented.) NOT (Formula presented.) gates for alkali metal neutral atoms used as qubits. These schemes are based on the electromagnetically induced transparency and Rydberg blockade. The fidelity of homonuclear multi-qubit CNOT (Formula presented.) gate based on Rydberg blockade was limited by the undesirable interaction between the target atoms and by the coupling laser intensity. We propose overcoming these limits by using strong heteronuclear dipole–dipole interactions via Förster resonances for control and target atoms, while the target atoms are coupled by a weaker van der Waals interaction. We optimized the gate performance in order to achieve higher fidelity, while keeping the coupling laser intensity as small as possible in order to improve the experimental feasibility of the gate schemes. We also considered the optimization of the schemes of the C (Formula presented.) NOT (Formula presented.) gates, where the fidelity is affected by the relation between the control–control, control–target and target–target interaction energies. Our numeric simulations confirm that the fidelity of the CNOT (Formula presented.) gate (single control and four target atoms) can be up to 99.3% and the fidelity of the C (Formula presented.) NOT (Formula presented.) (two control and two target atoms) is up to 99.7% for the conditions which are experimentally feasible.

AB - We analyze schemes of high-fidelity multi-qubit CNOT (Formula presented.) and C (Formula presented.) NOT (Formula presented.) gates for alkali metal neutral atoms used as qubits. These schemes are based on the electromagnetically induced transparency and Rydberg blockade. The fidelity of homonuclear multi-qubit CNOT (Formula presented.) gate based on Rydberg blockade was limited by the undesirable interaction between the target atoms and by the coupling laser intensity. We propose overcoming these limits by using strong heteronuclear dipole–dipole interactions via Förster resonances for control and target atoms, while the target atoms are coupled by a weaker van der Waals interaction. We optimized the gate performance in order to achieve higher fidelity, while keeping the coupling laser intensity as small as possible in order to improve the experimental feasibility of the gate schemes. We also considered the optimization of the schemes of the C (Formula presented.) NOT (Formula presented.) gates, where the fidelity is affected by the relation between the control–control, control–target and target–target interaction energies. Our numeric simulations confirm that the fidelity of the CNOT (Formula presented.) gate (single control and four target atoms) can be up to 99.3% and the fidelity of the C (Formula presented.) NOT (Formula presented.) (two control and two target atoms) is up to 99.7% for the conditions which are experimentally feasible.

KW - CNOT

KW - EIT

KW - Rydberg blockade

KW - heteronuclear

KW - homonuclear

KW - quantum architecture

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85178148946&origin=inward&txGid=5f043519115f008bf1a4bfebcb375e24

UR - https://www.mendeley.com/catalogue/c459eb16-90f8-32b9-a5a1-3a400401f4c9/

U2 - 10.3390/photonics10111280

DO - 10.3390/photonics10111280

M3 - Article

VL - 10

JO - Photonics

JF - Photonics

SN - 2304-6732

IS - 11

M1 - 1280

ER -