Scientific Reports 5: Article number: 10076; published online 17 June 2015; updated on 12 January 2016

This Article contains typographical errors.

In Equation (1):

should read:

In the Introduction section,

“In Ref. [You]=>[8], You et al. used different qubit-qubit interactions depending on the coupling direction.”

should read:

“In Ref. [8], You et al. used different qubit-qubit interactions depending on the coupling direction.”

In the Direct Methods section,

“from Eq. ((2)) ==> (2) as shown in Fig. 2(a,c,e).”

should read:

“from Eq. 2 as shown in Fig. 2(a,c,e).”

And lastly,

“Therefore, the unwanted terms emerge even in the process Eq.((7)) ==> (7) of combining the XX, YYand ZZ Ising couplings.

should read:

“Therefore, the unwanted terms emerge even in the process Eq. (7) of combining the XX, YYand ZZ Ising couplings.”