The data contained here was collected at the University of Bristol, School of Physics and presented in the article "Quantum processing by remote quantum control" by the authors of said article Xiaogang Qiang, Xiaoqi Zhou, Kanin Aungskunsiri, Hugo Cable and Jeremy L. O'Brien. The data is organised as listed below, and presented in .xlsx format where necessary. Matlab was chosen to analyse the data during the project and produce the publised plots. "Fig.S3 Experimental reconstructed process matrices": the experimentally reconstructed process matrices of the implemented gates shown in Fig.S3 in the supplementary material of the article. Note the process \chi_2, \chi_3 and \chi_6 shown here correspond to the process \chi_1, \chi_2 and \chi_3 shown in Fig.5 in the main text of the article. "Fig.S3 Raw counts.xlsx": the experimentally obtained over-complete process tomography data for the implemented gates shown in Fig.S3 in the supplementary material of the article. Note the process \chi_2, \chi_3 and \chi_6 shown here correspond to the process \chi_1, \chi_2 and \chi_3 shown in Fig.5 in the main text of the article. "Fig.S4 Experimental reconstructed process matrices": the experimentally reconstructed process matrices of the implemented gates shown in Fig.S4 in the supplementary material of the article. Note the process \chi_12 shown here corresponds to the process \chi_4 shown in Fig.5 in the main text of the article. "Fig.S4 Raw counts.xlsx": the experimentally obtained over-complete process tomography data for the implemented gates shown in Fig.S4 in the supplementary material of the article. Note the process \chi_12 shown here corresponds to the process \chi_4 shown in Fig.5 in the main text of the article.