One-step implementation of Toffoli gate for neutral atoms based on unconventional Rydberg pumping
H. D. Yin, X. X. Li, G. C. Wang, and X. Q. Shao

TL;DR
This paper presents a one-step, high-fidelity implementation of the Toffoli gate for neutral atoms using unconventional Rydberg pumping, improving efficiency and robustness in quantum computing.
Contribution
It introduces a novel one-step scheme for implementing a Toffoli gate with neutral atoms that is insensitive to interaction fluctuations and extendable to four qubits.
Findings
Achieves Toffoli gate within ~7 microseconds.
High fidelity across different atom alignments.
Extension to four-qubit gates without increasing operation time.
Abstract
Compared with the idea of universal quantum computation, a direct synthesis of a multiqubit logic gate can greatly improve the efficiency of quantum information processing tasks. Here we propose an efficient scheme to implement a three-qubit controlled-not (Toffoli) gate of neutral atoms based on unconventional Rydberg pumping. By adjusting the strengths of Rabi frequencies of driving fields, the Toffoli gate can be achieved within one step, which is also insensitive to the fluctuation of the Rydberg-Rydberg interaction. Considering different atom alignments, we can obtain a high-fidelity Toffoli gate at the same operation time . In addition, our scheme can be further extended to the four-qubit case without altering the operating time.
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