390 citations · 661 across the 16 of their papers we have counts for
4 papers · 1 filter
Convergence theorems for quantum annealing
Satoshi Morita, Hidetoshi Nishimori
We prove several theorems to give sufficient conditions for convergence of quantum annealing, which is a protocol to solve generic optimization problems by quantum dynamics. In par…
Internal Energy of the Potts model on the Triangular Lattice with Two- and Three-body Interactions
Masayuki Ohzeki, Hidetoshi Nishimori
We calculate the internal energy of the Potts model on the triangular lattice with two- and three-body interactions at the transition point satisfying certain conditions for coupli…
Duality in finite-dimensional spin glasses
Hidetoshi Nishimori
We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisf…
Location of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices
Hidetoshi Nishimori, Masayuki Ohzeki
A conjecture is given for the exact location of the multicritical point in the phase diagram of the +/- J Ising model on the triangular lattice. The result p_c=0.8358058 agrees wel…