2012/09/13 by Abbas Al-Shimary, James R. Wootton, James R Wootton +2 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Chemical and Physical Properties of Materials #Josephson effect #Lattice (music) #Quantum #Quantum and electron transport phenomena #Quantum phases #Simple (philosophy) #Thermal #Thermal fluctuations #Topological Materials and Phenomena #Topology (electrical circuits) #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1088/1367-2630/15/2/025027
12 pages, 6 figures
arxiv created 2012/09/13 · openalex publication_date 2013/02/19 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 the error-tolerance against bit-flips and phase-flips depends on the structure of the underlying lattice. Subsequently, we investigate the dependence of the lifetime of the quantum memory on the structure of the underlying lattice when it is subject to a finite temperature. Importantly, we provide a simple effective formula for the lifetime of the memory in terms of the average degree of the lattice. Finally, we propose optimal geometries for the Josephson junction implementation of topological quantum memories.