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Experimental Realization of Universal High-dimensional Quantum Gates with Ultra-high Fidelity and Efficiency by Meng, Zhe; Liu, Wen-Qiang; Song, Bo-Wen; Wang, Xiao-Yun; Zhang, An-Ning; Yin, Zhang-Qi is a scholarly article available to read on EtoBox.

What is Experimental Realization of Universal High-dimensional Quantum Gates with Ultra-high Fidelity and Efficiency about?

Qudit, a high-dimensional quantum system, provides a larger Hilbert space to process the quantum information and has shown remarkable advantages over the qubit counterparts. It is a great challenge to realize the high fidelity universal quantum gates with qudits. Here we theoretically propose and experimentally demonstrate a set of universal quantum gates for a single optical qudit with four dimensions (including the generalized Pauli $X_4$ gate, Pauli $Z_4$ gate, and all of their integer powers), which are encoded in the polarization-spatial degree of freedom without multiple unstable cascaded interferometers. Furthermore, we also realize the controlled-$X_4$ gate and all of its integer powers. We have achieved both the ultra-high average gate fidelity $99.73\%$ and efficiency $99.47\%$, which are above the the error threshold for fault-tolerant quantum computation. Our work paves a way for the large-scale high-dimensional fault-tolerant quantum computation with a polynomial resource cost.

Author

Meng, Zhe; Liu, Wen-Qiang; Song, Bo-Wen; Wang, Xiao-Yun; Zhang, An-Ning; Yin, Zhang-Qi

Published

2023

Language

EN