Faster transport with a directed quantum walk
| dc.creator | Hoyer, Stephan | |
| dc.creator | Meyer, David A. | |
| dc.date | 2009-01-08 | |
| dc.date | 2009-01-21 | |
| dc.date.accessioned | 2026-07-07T12:45:22Z | |
| dc.date.available | 2026-07-07T12:45:22Z | |
| dc.description | We give the first example of faster transport with a quantum walk on an inherently directed graph, on the directed line with a variable number of self-loops at each vertex. These self-loops can be thought of as adding a number of small dimensions. This is a discrete time quantum walk using the Fourier transform coin, where the walk proceeds a distance $Θ(1)$ in constant time compared to $Θ(1/n)$ classically, independent of the number of these small dimensions. The analysis proceeds by reducing this walk to a walk with a two dimensional coin. | |
| dc.description | 3 pages, 2 figures. To be published in Phys. Rev. A. v2: Minor wording changes. For Mathematica simulation source, see http://panic.berkeley.edu/~shoyer/ | |
| dc.identifier | https://arxiv.org/abs/0901.1007 | |
| dc.identifier | http://arxiv.org/abs/0901.1007 | |
| dc.identifier | Phys. Rev. A 79, 024307 (2009) | |
| dc.identifier | doi:10.1103/PhysRevA.79.024307 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221064 | |
| dc.subject | Quantum Physics | |
| dc.title | Faster transport with a directed quantum walk | |
| dc.type | text |