Bounds on probability of state transfer with respect to readout time and edge weight

Whitney Gordon, Steve Kirkland, Chi-Kwong Li, Sarah Plosker, and Xiaohong Zhang
Phys. Rev. A 93, 022309 – Published 8 February 2016

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.

  • Received 27 October 2015

DOI:https://doi.org/10.1103/PhysRevA.93.022309

©2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Techniques
Atomic, Molecular & Optical

Authors & Affiliations

Whitney Gordon1, Steve Kirkland2, Chi-Kwong Li3, Sarah Plosker1,2,4,*, and Xiaohong Zhang2

  • 1Department of Mathematics & Computer Science, Brandon University, Brandon, Manitoba R7A 6A9, Canada
  • 2Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
  • 3Department of Mathematics, College of William and Mary, Williamsburg, Virginia 23187, USA
  • 4Winnipeg Institute for Theoretical Physics, Winnipeg, Manitoba

  • *ploskers@brandonu.ca

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Issue

Vol. 93, Iss. 2 — February 2016

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