Physics – Quantum Physics
Scientific paper
2003-02-20
Physics
Quantum Physics
Latex,18 pages, 5 figures
Scientific paper
10.1103/PhysRevA.68.032314
There are presently two models for quantum walks on graphs. The "coined" walk uses discrete time steps, and contains, besides the particle making the walk, a second quantum system, the coin, that determines the direction in which the particle will move. The continuous walk operates with continuous time. Here a third model for a quantum walk is proposed, which is based on an analogy to optical interferometers. It is a discrete-time model, and the unitary operator that advances the walk one step depends only on the local structure of the graph on which the walk is taking place. No quantum coin is introduced. This type of walk allows us to introduce elements, such as phase shifters, that have no counterpart in classical random walks. Walks on the line and cycle are discussed in some detail, and a probability current for these walks is introduced. The relation to the coined quantum walk is also discussed. The paper concludes by showing how to define these walks for a general graph.
Bergou Janos
Feldman Edgar
Hillery Mark
No associations
LandOfFree
Quantum walks based on an interferometric analogy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum walks based on an interferometric analogy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum walks based on an interferometric analogy will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-483269