My progress reports may have been dormant for a few weeks, but the search for Levinson’s theorem on graphs has not! Â (My laptop was stolen last week so my recent time with computers has been necessarily precious and could not be wasted on blog ramblings. Â More on this below.) Explorations in Mathematica As you may [...]
Progress Report: Explorations in Mathematica & Complex Analysis Boot Camp
May 30th, 2010 No Comments
Tags: complex analysis · mathematica · open science · quantum information · quantum walks
Progress Report: Scattering and Bound States of the Simplest Graph Imaginable
May 6th, 2010 4 Comments
My recent hacks at trying to find the scattering and bound states of a semi-infinite line attached to a single weighted edge (the simplest graph imaginable) hadn’t been too successful until today. I had not really been sure about how to approach the problem and had only written down a Hamiltonian and postulated some qualitative [...]
Tags: analytic · levinsons theorem · quantum information · quantum walks · scattering
Progress Report: Decoherence and Quantum Walks
April 25th, 2010 5 Comments
Over the past couple weeks, I’ve mostly been preparing for my summer project at IQC by getting familiar with the literature on quantum walks and, in particular, scattering on graphs. I didn’t know much about either so I found a couple review papers, as well as some key papers by Andrew Childs, the researcher at [...]
Tags: decoherence · quantum computing · quantum information · quantum walks · scattering on graphs