Single-loop realization of arbitrary non-adiabatic holonomic single-qubit quantum gates in a superconducting circuit
Abstract
Geometric phases are noise-resilient, and thus provide a robust way towards high fidelity quantum manipulation. Here we experimentally demonstrate arbitrary non-adiabatic holonomic single-qubit quantum gates for both a superconducting transmon qubit and a microwave cavity in a single-loop way. In both cases, an auxiliary state is utilized, and two resonant microwave drives are simultaneously applied with well-controlled but varying amplitudes and phases for the arbitrariness of the gate. The resulting gates on the transmon qubit achieve a fidelity of 0.996 characterized by randomized benchmarking and the ones on the cavity show an averaged fidelity of 0.978 based on a full quantum process tomography. In principle, a nontrivial two-qubit holonomic gate between the qubit and the cavity can also be realized based on our presented experimental scheme. Our experiment thus paves the way towards practical non-adiabatic holonomic quantum manipulation with both qubits and cavities in a superconducting circuit.
Keywords
Cite
@article{arxiv.1804.07591,
title = {Single-loop realization of arbitrary non-adiabatic holonomic single-qubit quantum gates in a superconducting circuit},
author = {Y. Xu and W. Cai and Y. Ma and X. Mu and L. Hu and Tao Chen and H. Wang and Y. P. Song and Zheng-Yuan Xue and Zhang-qi Yin and L. Sun},
journal= {arXiv preprint arXiv:1804.07591},
year = {2018}
}
Comments
main text 6 pages, 4 figures; supplement 5 pages, 5 figures; Added references and corrected typos