118 citations · 311 across the 10 of their papers we have counts for
10 papers
Dimensional Jump in Quantum Error Correction
H. Bombin
Topological stabilizer codes with different spatial dimensions have complementary properties. Here I show that the spatial dimension can be switched using gauge fixing. Combining 2…
An Introduction to Topological Quantum Codes
H. Bombin
This is the chapter \emph{Topological Codes} of the book \emph{Quantum Error Correction}, edited by Daniel A. Lidar and Todd A. Brun, Cambridge University Press, New York, 2013. ht…
Optimal error correction in topological subsystem codes
Ruben S. Andrist, H. Bombin, Helmut G. Katzgraber +1
A promising approach to overcome decoherence in quantum computing schemes is to perform active quantum error correction using topology. Topological subsystem codes incorporate both…
Universality in phase boundary slopes for spin glasses on self dual lattices
Masayuki Ohzeki, Creighton K. Thomas, Helmut G. Katzgraber +2
We study the effects of disorder on the slope of the disorder--temperature phase boundary near the Onsager point (Tc = 2.269...) in spin-glass models. So far, studies have focused…
Tricolored Lattice Gauge Theory with Randomness: Fault-Tolerance in Topological Color Codes
Ruben S. Andrist, Helmut G. Katzgraber, H. Bombin +1
We compute the error threshold of color codes, a class of topological quantum codes that allow a direct implementation of quantum Clifford gates, when both qubit and measurement er…
Topological color codes on Union Jack lattices: A stable implementation of the whole Clifford group
Helmut G. Katzgraber, H. Bombin, Ruben S. Andrist +1
We study the error threshold of topological color codes on Union Jack lattices that allow for the full implementation of the whole Clifford group of quantum gates. After mapping th…