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Advanced Quantum Technologies

Deterministic Implementation of SWAP Gates and CSWAP Gates Using Rydberg Atoms Via Transitionless Quantum Driving

Jie Wang, Yan‐Qiang Ji, Ji‐Ping Wang, Li‐Ping Yang, Dong Li, Xiao‐Ming Xiu

Published Feb 6, 2025• 4 citations
Publisher

Abstract

Abstract Quantum logic gates are the fundamental operational units in quantum computing. The SWAP gate, as an important two‐qubit logic gate, has long been the focus of scholars for seeking to achieve high‐fidelity implementations. This study proposes a scheme for realizing a SWAP gate using Rydberg atoms. The scheme ingeniously utilizes the interactions between Rydberg atoms to construct the model and combines the “transitionless quantum driving” algorithm to design the control laser. Numerical simulations show that this scheme not only achieves a high‐fidelity SWAP gate but also robust against experimental imperfections such as atomic spontaneous emission. At last, this scheme is extended to realize CSWAP gate.

DOI
10.1002/qute.202400604

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Abstract Quantum logic gates are the fundamental operational units in quantum computing. The SWAP gate, as an important two‐qubit logic gate, has long been the focus of scholars for seeking to achieve high‐fidelity implementations. This study proposes a scheme for realizing a SWAP gate using Rydberg atoms. The scheme ingeniously utilizes the interactions between Rydberg atoms to construct the model and combines the “transitionless quantum driving” algorithm to design the control laser. Numerical simulations show that this scheme not only achieves a high‐fidelity SWAP gate but also robust against experimental imperfections such as atomic spontaneous emission. At last, this scheme is extended to realize CSWAP gate.
Abstract The quantum logic gate is a basic operation in quantum computing. SWAP gates are quite useful as a type of two-qubit logic gate. In this paper, we propose a fast scheme to get a deterministic SWAP gate between two atoms in just one step. In this scheme the experimental parameters, such as evolution time, laser parameters and so on, do not need to be controlled precisely. This greatly simplifies the actual operation. Meanwhile, the strict numerical simulations show that decoherence arising from spontaneous emission and cavity decay may be allowed to some extent. What is more, the idea can be used to generate a SWAP gate between two spatially separate atoms. It is worth noting that our scheme simplifies the complex steps found in some pre-existing schemes.
A neutral-atom system serves as a promising platform for realizing gate-based quantum computing because of its capability to trap and control several atomic qubits in different geometries and the ability to perform strong, long-range interactions between qubits; however, the two-qubit entangling gate fidelity lags behind competing platforms such as superconducting systems and trapped ions. The aim of our work is to design a fast, robust, high-fidelity controlled-ZZZ (cz) gate, based on the Rydberg-blockade mechanism, for neutral atoms. We propose a gate procedure that relies on simultaneous and transitionless quantum driving of a pair of atoms using broadband lasers. By simulating a system of two interacting cesium atoms, including spontaneous emission from excited levels and parameter fluctuations, we yield a Rydberg-blockade cz gate with fidelity 0.9985 over an operation time of $0.12\phantom{\rule{3.33333pt}{0ex}}\mathrm{\textmu{}s}$. Our gate procedure delivers cz gates that are superior than the state-of-the-art experimental cz gate and the simulated cz gates based on adiabatic driving of atoms. Our results show that our gate procedure carries significant potential for achieving scalable quantum computing using neutral atoms.
Abstract Rydberg atoms have exhibited excellent potentials to become a competent platform of implementing quantum computation, which demands to execute various quantum gates fast and faithfully. We propose a dynamic mechanism of two interacting Rydberg atoms for implementing a high-fidelity SWAP gate on ground-state manifolds, where the amplitude modulation and soft quantum control of lasers driving ground-Rydberg state transitions are elaborately matched with the interaction strength between atoms so as to engineer the desired transformation of atomic states. Compared with the recent Rydberg-atom SWAP gate scheme, the present one possesses the undegraded first-order dynamics and shows an interference-induced suppression of the doubly-excited Rydberg state, so it costs shorter gate time and exhibits greater robustness against atomic decay and deviations in the interatomic separation (interaction strengths). The present mechanism of implementing a SWAP gate on interacting Rydberg atoms could facilitate high-fidelity demonstrations of atomic ground state transformation and further exploitation of peculiar dynamics.
Quantum computing algorithms can be decomposed into a universal set of elementary one- and two-qubit gates. Different physical implementations of quantum computing, however, employ interactions that permit direct conditional dynamics on multiple qubits in a single step. In this work, we leverage quantum optimal control techniques to design single continuous laser pulses that implement multi-qubit controlled-phase, -NOT and -swap (Fredkin) gates on Rydberg atom quantum processors. The identification of robust multi-qubit operations leads to reduced operation time and less decoherence, and the control field provides continuous protection of the atoms from environmental noise. Notably, we find that the controlled-swap (Fredkin) gate, implemented using this approach achieves 99.74\% fidelity while accounting for imperfections such as spontaneous emission, laser fluctuations, and Doppler dephasing.
Abstract We propose a scheme for implementing robust SWAP gate on two distant atoms that are confined in two spatially separated single-mode optical cavities connected by an optical fiber. The SWAP gate cannot be attained by using adiabatic passage for such a physical model, but we achieve it by following transitionless quantum driving, a method of shortcuts to adiabatic passage. In addition, during the execution of the SWAP gate, none of two atoms, two cavities and the fiber is excited, and thus the virtual excitations of the fiber-cavity-atom system make the scheme very robust against the atomic spontaneous radiation and the decay of the cavities and the fiber. Numerical simulations show that the SWAP gate can be attained with high fidelity, and the present scheme is insensitive to the control errors of various parameters. The scheme may have potential applications in distributed quantum computing and quantum information process in a quantum network.
Quantum computing algorithms can be decomposed into a universal set of elementary one- and two-qubit gates. Different physical implementations of quantum computing, however, employ interactions that permit direct conditional dynamics on multiple qubits in a single step. In this work, we leverage quantum optimal control techniques to design single continuous laser pulses that implement multi-qubit controlled-phase and -swap (Fredkin) gates on Rydberg atom quantum processors. The identification of robust multi-qubit operations leads to reduced operation time and less decoherence, and the control field provides continuous protection of the atoms from environmental noise. Notably, we find that the controlled-SWAP (Fredkin) gate, implemented using this approach, achieves 99.88% fidelity while accounting for imperfections such as spontaneous emission, laser fluctuations, and Doppler dephasing.