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Topological Quantum Computing

Non-Adiabatic Universal Holonomic Quantum Gates Based on Abelian Holonomies

arXiv
Authors: Utkan Güngördü, Yidun Wan, Mikio Nakahara

Year

2013

Paper ID

33446

Status

Preprint

Abstract Read

~2 min

Abstract Words

56

Citations

N/A

Abstract

We implement a non-adiabatic universal set of holonomic quantum gates based on abelian holonomies using dynamical invariants, by Lie-algebraic methods. Unlike previous implementations, presented scheme does not rely on secondary methods such as double-loop or spin-echo and avoids associated experimental difficulties. It turns out that such gates exist purely in the non-adiabatic regime for these systems.

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  • We implement a non-adiabatic universal set of holonomic quantum gates based on abelian holonomies using dynamical invariants, by Lie-algebraic methods.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1307.8001 [2] arXiv https://arxiv.org/abs/1307.8001 [3] Publisher https://arxiv.org/abs/1307.8001

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