Document Type
Article
Department/Program
Physics
Journal Title
Physical Review a
Pub Date
2016
Volume
93
Issue
2
Abstract
We analyze the sensitivity of a spin chain modeled by an undirected weighted connected graph exhibiting perfect state transfer to small perturbations in readout time and edge weight in order to obtain physically relevant bounds on the probability of state transfer. At the heart of our analysis is the concept of the numerical range of a matrix; our analysis of edge weight errors additionally makes use of the spectral and Frobenius norms.
Recommended Citation
Gordon, Whitney; Plosker, Sarah; Kirkland, Steve; and Li, Chi-Kwong, Bounds on probability of state transfer with respect to readout time and edge weight (2016). Physical Review a, 93(2).
10.1103/PhysRevA.93.022309
DOI
10.1103/PhysRevA.93.022309
