Abstract

We propose a novel method for constructing geometric quantum gates using three- or two-level systems, in which a controllable variable, the detuning between the driving frequency and the atomic energy spacing, is introduced to realize geometric transformations. In particular, we have two instantaneous eigenstates with opposite eigenvalues constituting a closed loop in the parameter space. The accumulated dynamical phase is then exactly cancelled when the loop is completed, which is beyond the traditional parallel-transport restriction. We apply the transitionless quantum driving method to enhance the speed and fidelity of geometric gates. Gate fidelity in the presence of decoherence is also estimated.

© 2020 Optical Society of America

Distributed geometric quantum computation based on the optimized-control-technique in a cavity-atom system via exchanging virtual photons

Mengru Yun, Fu-Qiang Guo, Meng Li, L.-L. Yan, M. Feng, Y.-X. Li, and S.-L. Su
Opt. Express 29(6) 8737-8750 (2021)

Heralded universal quantum computing on electron spins in diamond nitrogen-vacancy centers assisted by low-Q microtoroidal resonators

Ming Li, Xin Wang, Jia-Ying Lin, and Mei Zhang
J. Opt. Soc. Am. B 37(3) 618-626 (2020)

Demonstration of a non-Abelian geometric controlled-NOT gate in a superconducting circuit

Kai Xu, Wen Ning, Xin-Jie Huang, Pei-Rong Han, Hekang Li, Zhen-Biao Yang, Dongning Zheng, Heng Fan, and Shi-Biao Zheng
Optica 8(7) 972-976 (2021)

Cavity QED implementation of non-adiabatic holonomies for universal quantum gates in decoherence-free subspaces with nitrogen-vacancy centers

Jian Zhou, Wei-Can Yu, Yu-Mei Gao, and Zheng-Yuan Xue
Opt. Express 23(11) 14027-14035 (2015)

Rydberg-atom-based controlled arbitrary-phase gate and its applications

Xiao-Yu Zhu, Erjun Liang, and Shi-Lei Su
J. Opt. Soc. Am. B 36(7) 1937-1944 (2019)