Realization of a holonomic quantum computer in a chain of three-level   systems
  Holonomic quantum computation is the idea to use non-Abelian geometric phases to implement universal quantum gates that are robust to fluctuations in control parameters. Here, we propose a compact design for a holonomic quantum computer based on coupled three-level systems. The scheme does not require adiabatic evolution and can be implemented in arrays of atoms or ions trapped in tailored standing wave potentials. 
Zeynep Nilhan G\"urkan, Erik Sj\"oqvist
quant-ph