Scientific Reports 2, Article number: 0869 (2012); Published: 16 November 2012; Updated: 7 January 2014

This Article contains an error in the Acknowledgements section:

“F.N. acknowledges partial support from the Army Research Office, Grant-in-Aid for Scientific Research (S), MEXT Kakenhi on Quantum Cybernetics and Funding Program for Innovative R&D on S&T (FIRST).” should read “F.N. acknowledges partial support from the Army Research Office, JSPS-RFBR contract No. 12-02-92100, Grant-in-Aid for Scientific Research (S), MEXT Kakenhi on Quantum Cybernetics and Funding Program for Innovative R&D on S&T (FIRST).”