16 citations · 18 across the 3 of their papers we have counts for
4 papers
Gauge Theory for Quantum Spin Glasses
Satoshi Morita, Yukiyasu Ozeki, Hidetoshi Nishimori
The gauge theory for random spin systems is extended to quantum spin glasses to derive a number of exact and/or rigorous results. The transverse Ising model and the quantum gauge g…
Possibly Exact Solution for the Multicritical Point of Finite-Dimensional Spin Glasses
Hidetoshi Nishimori, Koujin Takeda, Tomohiro Sasamoto
After briefly describing the present status of the spin glass theory, we present a conjecture on the exact location of the multicritical point in the phase diagram of finite-dimens…
Error counting in a quantum error-correcting code and the ground-state energy of a spin glass
Hidetoshi Nishimori, Peter Sollich
Upper and lower bounds are given for the number of equivalence classes of error patterns in the toric code for quantum memory. The results are used to derive a lower bound on the g…
Statistical Mechanics of an NP-complete Problem: Subset Sum
T. Sasamoto, T. Toyoizumi, H. Nishimori
We study statistical properties of an NP-complete problem, the subset sum, using the methods and concepts of statistical mechanics. The problem is a generalization of the number pa…