Please use this identifier to cite or link to this item:
Title: Fast non-Abelian geometric gates via transitionless quantum driving
Authors: Zhang, J.
Kyaw, Thi Ha
Tong, D. M.
Sjöqvist, Erik
Kwek, Leong-Chuan
Issue Date: 2015
Source: Zhang, J., Kyaw, T. H., Tong, D. M., Sjöqvist, E., & Kwek, L. -C. (2015). Fast non-Abelian geometric gates via transitionless quantum driving. Scientific Reports, 5, 18414-.
Series/Report no.: Scientific Reports
Abstract: 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.
ISSN: 2045-2322
DOI: 10.1038/srep18414
Research Centres: Institute of Advanced Studies 
Rights: This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:IAS Journal Articles

Files in This Item:
File Description SizeFormat 
Fast non-Abelian geometric gates via transitionless quantum driving.pdf715.21 kBAdobe PDFThumbnail

Citations 5

Updated on Sep 22, 2023

Web of ScienceTM
Citations 5

Updated on Sep 16, 2023

Page view(s) 50

Updated on Sep 23, 2023

Download(s) 50

Updated on Sep 23, 2023

Google ScholarTM




Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.