Fast non-Abelian geometric gates via transitionless quantum driving.

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.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Zhang J,Kyaw TH,Tong DM,Sjöqvist E,Kwek LC

doi

10.1038/srep18414

subject

Has Abstract

pub_date

2015-12-21 00:00:00

pages

18414

issn

2045-2322

pii

srep18414

journal_volume

5

pub_type

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