Large Qudit Limit of One-dimensional Quantum Walks
| dc.creator | Sato, Mitsunori | |
| dc.creator | Kobayashi, Naoki | |
| dc.creator | Katori, Makoto | |
| dc.creator | Konno, Norio | |
| dc.date | 2008-02-14 | |
| dc.date.accessioned | 2026-07-07T09:20:46Z | |
| dc.date.available | 2026-07-07T09:20:46Z | |
| dc.description | We study a series of one-dimensional discrete-time quantum-walk models labeled by half integers $j=1/2, 1, 3/2, ...$, introduced by Miyazaki {\it et al.}, each of which the walker's wave function has $2j+1$ components and hopping range at each time step is $2j$. In long-time limit the density functions of pseudovelocity-distributions are generally given by superposition of appropriately scaled Konno's density function. Since Konno's density function has a finite open support and it diverges at the boundaries of support, limit distribution of pseudovelocities in the $(2j+1)$-component model can have $2j+1$ pikes, when $2j+1$ is even. When $j$ becomes very large, however, we found that these pikes vanish and a universal and monotone convex structure appears around the origin in limit distributions. We discuss a possible route from quantum walks to classical diffusion associated with the $j \to \infty$ limit. | |
| dc.description | REVTeX4, 14 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0802.1997 | |
| dc.identifier | http://arxiv.org/abs/0802.1997 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154826 | |
| dc.subject | Quantum Physics | |
| dc.subject | Statistical Mechanics | |
| dc.title | Large Qudit Limit of One-dimensional Quantum Walks | |
| dc.type | text |