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

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.