128 citations · 305 across the 7 of their papers we have counts for
7 papers
Error Threshold for Color Codes and Random 3-Body Ising Models
Helmut G. Katzgraber, H. Bombin, M. A. Martin-Delgado
We study the error threshold of color codes, a class of topological quantum codes that allow a direct implementation of quantum Clifford gates suitable for entanglement distillatio…
Analysis of Evolutionary Algorithms on the One-Dimensional Spin Glass with Power-Law Interactions
Martin Pelikan, Helmut G. Katzgraber
This paper provides an in-depth empirical analysis of several evolutionary algorithms on the one-dimensional spin glass model with power-law interactions. The considered spin glass…
Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses
Helmut G. Katzgraber, Derek Larson, A. P. Young
We test for the existence of a spin-glass phase transition, the de Almeida-Thouless line, in an externally-applied (random) magnetic field by performing Monte Carlo simulations on…
Extended scaling for ferromagnetic Ising models with zero-temperature transitions
Helmut G. Katzgraber, I. A. Campbell, A. K. Hartmann
We study the second-moment correlation length and the reduced susceptibility of two ferromagnetic Ising models with zero-temperature ordering. By introducing a scaling variable mot…
Ultrametricity and clustering of states in spin glasses: A one-dimensional view
Helmut G. Katzgraber, Alexander K. Hartmann
We present results from Monte Carlo simulations to test for ultrametricity and clustering properties in spin-glass models. By using a one-dimensional Ising spin glass with random p…
Density of States and Critical Behavior of the Coulomb Glass
Brigitte Surer, Helmut G. Katzgraber, Gergely T. Zimanyi +2
We present zero-temperature simulations for the single-particle density of states of the Coulomb glass. Our results in three dimensions are consistent with the Efros and Shklovskii…