Very cool! On יום ו׳, 20 בנוב׳ 2015 at 21:22 Marko Rodriguez <[email protected]> wrote:
> Hello, > > At the beginning of summer I started studying quantum mechanics in my > spare time. I realized that many of the concepts in quantum mechanics are > similar to "Gremlin mechanics." In particular, both systems exploit > particle/traverser superposition. However, what Gremlin doesn't have is an > explicit notion of wave dynamics -- a fundamental component of quantum > systems. That is, the traversers in Gremlin only constructively interfere > (called "bulking"), they never destructively interfere. Upon further > exploration, I realized that there are very few articles that discuss the > use of waves in graph/network theory. Thus, either there is a rich vein of > untapped ideas or the endeavor is a dead end with little to be leveraged. I > leaned towards the prior assumption given that discrete quantum mechanics > is conveniently modeled as a wave on a graph. This wave is known as the > famous "wavefunction" of quantum mechanics' wave-particle duality thesis. > > In order to learn, I teach. Thus, for GraphDay in January, I decided to > present a talk called "Quantum Processes in Graphs." [ > http://graphday.com/sessions/#rodriguez] However, to ensure that my > knowledge is sound, I thought it prudent to first write an article on the > topic. This article is entitled "Quantum Walks with Gremlin" and you can > find it referenced in the tweet below. > > https://twitter.com/twarko/status/667784364210569216 > > Interestingly, there is little difference between classical wave mechanics > and quantum mechanics. I suppose the difference can be naively stated as: > "quantum mechanics ultimately 'does something' with the wave." In > particular, the quantum wavefunction "collapses" to form a particle upon > observation/measurement (in the lexicon of the Copenhagen interpretation). > While in classical wave mechanics, the wave itself is the ultimate object > of concern. Hopefully, the aforementioned article (and future presentation > in January) will allow us to kill two birds with one stone -- we learn how > to model waves in graphs and, as a nice amendment, we will also learn about > quantum computing. We gain all of this from the familiar perspective of the > Gremlin graph traversal machine and language. > > Enjoy, > Marko. > > http://markorodriguez.com > >
