Influence of configuration and acoustic phonons on three-qubit   controlled-phase gate
  We discuss the configuration and acoustic phonon effect on the conditional phase gate using self assembled quantum dots. As an example, we discuss the simplest three dots conditional phase gate, and we found that the fidelity of conditional phase gate depends strongly on the configuration and temperature. Numerical simulation shows that line-configuration resonant with lower single exciton energy level performs better during the gate operation. 
Song Yang, Ming Gong, Xubo Zou, Chuanfeng Li, Cheng Zhao, Guangcan Guo