Finite Dimensional Spin Glasses
Challenge on Exact solution for spin glasses
Reference
M. Ohzeki, H. Nishimori and A. Nihat Berker, Phys. Rev. E 77 (2008) 061116.
M. Ohzeki, Doctor Thesis (Tokyo Institute of Technology).
M. Ohzeki, Phys. Rev. E 79, (2009) 021129.
M. Ohzeki, and H. Nishimori, J. Phys. A: Math. Theor. 42 (2009) 332001.
Quantum Surface Codes
Quantum error correction via statistical mechanics
Reference
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, J. Math. Phys. 43 (2002) 4452.
M. Ohzeki, Phys. Rev. E, 80 (2009) 011141.
H. Bombin, R. S. Andrist, M. Ohzeki, H. G. Katzgraber and M. Angel Martin-Delgado, Phys. Rev. X 2, 021004 (2012).
D. Gottesman, Physics 5, 50 (2012).
M. Ohzeki, Phys. Rev. A 85, 060301(R) (2012).
K. Fujii, Y. Nakata, M. Ohzeki and M. Murao, to appear soon.
M. Ohzeki and K. Fujii, to appear soon.
M. Ohzeki and K. Fujii, to appear soon.
Optimization Problem
Physics optimize our daily life
Reference
S. Morita and H. Nishimori, J. Math. Phys. 49 (2008) 125210.
S. Suzuki and M. Okada, J. Phys. Soc. Jpn. 74 (2005) 1649.
M. Ohzeki, and H. Nishimori, J. Phys. Soc. Jpn. 79 (2010) 084003.
M. Ohzeki, Phys. Rev. Lett. 105, (2010) 050401.
M. Ohzeki, and H. Nishimori, J Comp. and Theor. Nanoscience, 8. (2011) 963.
H. Katsuda, and M. Ohzeki, J. Phys. Soc. Jpn. 80 (2011) 045003
M. Ohzeki, H. Katsuda, and H. Nishimori, J. Phys. Soc. Jpn. 80 (2011) 084002.
K. Hukushima, M. Ohzeki, and H, Nishimori, work in progress.