标题：Fast non-Abelian geometric gates via transitionless quantum driving
作者：Zhang, J.; Kyaw, Thi Ha; Tong, D. M.; Sjoqvist, Erik; Kwek, Leong-Chuan
作者机构：[Zhang, J.; Tong, D. M.] Shandong Univ, Dept Phys, Jinan 250100, Peoples R China.; [Zhang, J.; Kyaw, Thi Ha; Kwek, Leong-Chuan] Natl Univ Singapore, 更多
通讯作者地址：[Tong, DM]Shandong Univ, Dept Phys, Jinan 250100, Peoples R China.
摘要：A practical quantum computer must be capable of performing high fidelity quantum gates on a set of quantum bits (qubits). In the presence of noise, the realization of such gates poses daunting challenges. Geometric phases, which possess intrinsic noise-tolerant features, hold the promise for performing robust quantum computation. In particular, quantum holonomies, i.e., non-Abelian geometric phases, naturally lead to universal quantum computation due to their non-commutativity. Although quantum gates based on adiabatic holonomies have already been proposed, the slow evolution eventually compromises qubit coherence and computational power. Here, we propose a general approach to speed up an implementation of adiabatic holonomic gates by using transitionless driving techniques and show how such a universal set of fast geometric quantum gates in a superconducting circuit architecture can be obtained in an all-geometric approach. Compared with standard non-adiabatic holonomic quantum computation, the holonomies obtained in our approach tends asymptotically to those of the adiabatic approach in the long run-time limit and thus might open up a new horizon for realizing a practical quantum computer.