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Non-Adiabatic Universal Holonomic Quantum Gates Based on Abelian Holonomies

Research paper by Utkan Güngördü, Yidun Wan, Mikio Nakahara

Indexed on: 07 Feb '14Published on: 07 Feb '14Published in: Quantum Physics



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.