Demonstration of quantum error correction and universal gate set on a binomial bosonic logical qubit
Abstract
Logical qubit encoding and quantum error correction (QEC) have been experimentally demonstrated in various physical systems with multiple physical qubits, however, logical operations are challenging due to the necessary nonlocal operations. Alternatively, logical qubits with bosonic-mode-encoding are of particular interest because their QEC protection is hardware efficient, but gate operations on QEC protected logical qubits remain elusive. Here, we experimentally demonstrate full control on a single logical qubit with a binomial bosonic code, including encoding, decoding, repetitive QEC, and high-fidelity (97.0% process fidelity on average) universal quantum gate set on the logical qubit. The protected logical qubit has shown 2.8 times longer lifetime than the uncorrected one. A Ramsey experiment on a protected logical qubit is demonstrated for the first time with two times longer coherence than the unprotected one. Our experiment represents an important step towards fault-tolerant quantum computation based on bosonic encoding.
Cite
@article{arxiv.1805.09072,
title = {Demonstration of quantum error correction and universal gate set on a binomial bosonic logical qubit},
author = {Ling Hu and Yuwei Ma and Weizhou Cai and Xianghao Mu and Yuan Xu and Weiting Wang and Yukai Wu and Haiyan Wang and Yipu Song and Changling Zou and S. M. Girvin and L-M. Duan and Luyan Sun},
journal= {arXiv preprint arXiv:1805.09072},
year = {2019}
}
Comments
20 pages 18 figures