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: Beautifying Equations
May 1st, 2010 3 Comments
Before Professor Lidar and I dive into optimization, I’m trying to reproduce the results found in Table 1 of the Invisible Quantum Tripwire paper, specifying the efficiency of the IFM procedure for various settings of the parameters (number of times the photon cycles through the interferometer, total phase rotation angle, and amount of loss in [...]
Tags: Math · mathematica · physics · quantum computing · quantum information · science