Erratum to: Quantum Inf Process (2015) 14:2435–2461 DOI 10.1007/s11128-015-0985-1

In subsection 3.2, “Continuous-wave ESR results”, the Gaussian computer program should be cited as:

M.J. Frisch, G.W. Trucks, H.B. Schlegel, G.E. Scuseria, M.A. Robb, J.R. Cheeseman, G. Scalmani, V. Barone, B. Mennucci, G.A. Petersson, H. Nakatsuji, M. Caricato, X. Li, H.P. Hratchian, A.F. Izmaylov, J. Bloino, G. Zheng, J.L. Sonnenberg, M. Hada, M. Ehara, K. Toyota, R. Fukuda, J. Hasegawa, M. Ishida, T. Nakajima, Y. Honda, O. Kitao, H. Nakai, T. Vreven, J. A. Montgomery, Jr., J.E. Peralta, F. Ogliaro, M. Bearpark, J.J. Heyd, E. Brothers, K.N. Kudin, V.N. Staroverov, R. Kobayashi, J. Normand, K. Raghavachari, A. Rendell, J.C. Burant, S.S. Iyengar, J. Tomasi, M. Cossi, N. Rega, J.M. Millam, M. Klene, J.E. Knox, J.B. Cross, V. Bakken, C. Adamo, J. Jaramillo, R. Gomperts, R.E. Stratmann, O. Yazyev, A.J. Austin, R. Cammi, C. Pomelli, J.W. Ochterski, R.L. Martin, K. Morokuma, V.G. Zakrzewski, G.A. Voth, P. Salvador, J.J. Dannenberg, S. Dapprich, A.D. Daniels, Ö. Farkas, J.B. Foresman, J.V. Ortiz, J. Cioslowski, and D.J. Fox, Gaussian 09, Revision A.02 (Guassian, Inc., Wallingford CT, 2009)

Figure 7 and its caption should be replaced by the following:

Fig. 7
figure 1

Simulation results for 3-qubit HBAC using AHC. The plot shows the ratio of the \(\hbox {C}_{m}\) polarization (\(\epsilon _c\)) and the electron bath polarization (\(\epsilon _b\)) at the end of each HBAC round, up to 9 rounds. The dashed curve is the theoretical (ideal) value. The red (open squares) curve is obtained by incorporating all experimentally determined (room temperature) relaxation parameters. The blue (crosses) curve is obtained by allowing the \(T^*_2\) of the electron to equal \(T_2^e\). The green (open circles) curve is obtained by allowing \(T_2^e\) to be 20 \(\upmu \)s, 4 times longer than the measured value, in order to test the consequence of a longer electronic \(T_2\)

Full size image

In the Acknowledgments section, we wish to add the following statement:

R.R. thanks S. Raesi for discussions.