Abstract The high‐dimensional Toffoli gate functions in a broader Hilbert space, which empowers it to convey and handle greater amounts of information through parallel quantum pathways. In this study, a scheme of 3‐qudit ‐D Toffoli gate in the QD cavity‐coupling system with high fidelity is proposed. By modulating Purcell factor, the balanced condition is obtained so that the error induced by whether there is interaction between the QDs and cavities or not can be neglected. The scheme features a module circuit design, which not only ensures higher construction feasibility but also helps save resources. Meanwhile, it possesses technical scalability, enabling effective promotion to the application scenarios of n ‐qudit systems, which reduces the steps required to manipulate quantum states and makes it simpler to construct quantum computing circuits.
Chen et al. (Mon,) studied this question.