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Fast non-Abelian geometric gates via transitionless quantum driving
Department of Physics, Shandong University, Jinan, China.
Centre for Quantum Technologies, NUS, Singapore.
Department of Physics, Shandong University, Jinan, China.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy. Uppsala universitet. (Quantum information theory)
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2015 (English)In: Scientific Reports, ISSN 2045-2322, E-ISSN 2045-2322, Vol. 5, 18414Article in journal (Refereed) Published
Abstract [en]

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 coher- ence 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 ob- tained 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. 

Place, publisher, year, edition, pages
2015. Vol. 5, 18414
Keyword [en]
Quantum computation, geometric phase, superconducting qubit
National Category
Other Physics Topics Atom and Molecular Physics and Optics Condensed Matter Physics
Research subject
URN: urn:nbn:se:uu:diva-238072DOI: 10.1038/srep18414ISI: 000367078200001PubMedID: 26687580OAI: oai:DiVA.org:uu-238072DiVA: diva2:770028
Swedish Research Council, D0413201
Available from: 2014-12-09 Created: 2014-12-09 Last updated: 2016-01-26Bibliographically approved

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