23 citations · 23 across the 1 of their papers we have counts for
3 papers
Entropic Barriers for Two-Dimensional Quantum Memories
Benjamin J. Brown, Abbas Al-Shimary, Jiannis K. Pachos
Comprehensive no-go theorems show that information encoded over local two-dimensional topologically ordered systems cannot support macroscopic energy barriers, and hence will not m…
Lifetime of topological quantum memories in thermal environment
Abbas Al-Shimary, James R. Wootton, Jiannis K. Pachos
Here we investigate the effect lattice geometry has on the lifetime of two-dimensional topological quantum memories. Initially, we introduce various lattice patterns and show how t…
Energy gaps of Hamiltonians from graph Laplacians
Abbas Al-Shimary, Jiannis K. Pachos
The Cheeger inequalities give an upper and lower bound on the spectral gap of discrete Laplacians defined on a graph in terms of the geometric characteristics of the graph. We gene…