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Complex Replica Zeros of Ising Spin Glass at Zero Temperature
Tomoyuki Obuchi, Yoshiyuki Kabashima, Hidetoshi Nishimori
Zeros of the th moment of the partition function are investigated in a vanishing temperature limit , keeping . In this limit, the…
Ground-state statistics from annealing algorithms: Quantum vs classical approaches
Yoshiki Matsuda, Hidetoshi Nishimori, Helmut G Katzgraber
We study the performance of quantum annealing for systems with ground-state degeneracy by directly solving the Schrödinger equation for small systems and quantum Monte Carlo simula…
Mathematical Foundation of Quantum Annealing
Satoshi Morita, Hidetoshi Nishimori
Quantum annealing is a generic name of quantum algorithms to use quantum-mechanical fluctuations to search for the solution of optimization problem. It shares the basic idea with q…
Spin Glass Identities and the Nishimori Line
Pierluigi Contucci, Cristian Giardina, Hidetoshi Nishimori
For a general spin glass model with asymmetric couplings we prove a family of identities involving expectations of generalized overlaps and magnetizations in the quenched state. Th…
Multicritical points for the spin glass models on hierarchical lattices
Masayuki Ohzeki, Hidetoshi Nishimori, A. Nihat Berker
The locations of multicritical points on many hierarchical lattices are numerically investigated by the renormalization group analysis. The results are compared with an analytical…
Reentrant and Forward Phase Diagrams of the Anisotropic Three-Dimensional Ising Spin Glass
Can Güven, A. Nihat Berker, Michael Hinczewski +1
The spatially uniaxially anisotropic d=3 Ising spin glass is solved exactly on a hierarchical lattice. Five different ordered phases, namely ferromagnetic, columnar, layered, antif…