"Travis L Scholten", "bio"=>"Working on quantum computing.", "avatar"=>"images/profile.jpg", "location"=>"Wherever I happen to be", "github"=>"Travis-S", "instagram"=>"travis_sch", "twitter"=>"Travis_Sch", "linkedin"=>"travis-scholten-aa96b4b3/"}"> Spectral Gap Scaling of One-Dimensional Quantum Spin Chains | TLS

Spectral Gap Scaling of One-Dimensional Quantum Spin Chains

Date: 19 January 2012

Location: Pasadena, CA

Description

I gave this talk at the end of my 2011 Summer Undergraduate Research Fellowship at Caltech as part of the Perpall speaking competition. I advanced to the final round, where I finished in the top seven.

Screencast

Available via iTunes: search for Caltech, then navigate to SURF Presentations. Alternatively, Caltech SURF graciously uploaded the video here.

Slide Deck

Abstract

A quantum computer built on adiabatic principles has an interesting runtime feature - the time it takes for the computation to execute depends on an energy gap within the system. It is not know whether an adiabatic quantum computer built out of spin 1/2 particles on 1 dimensional ring has energy gaps which close exponentially quickly in the system size. I present a way to investigate this problem numerically.