|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Non-uniform mixing of quantum walk on cycle | | William Adamczak
; Kevin Andrew
; Leon Bergen
; Dillon Ethier
; Peter Hernberg
; Jennifer Lin
; Christino Tamon
; | | Date: |
15 Aug 2007 | | Abstract: | A classical lazy random walk on cycles is known to mix to the uniform
distribution. In contrast, we show that a continuous-time quantum walk on
cycles exhibit strong non-uniform mixing properties. Our results include the
following:
- The instantaneous distribution of a quantum walk on most even-length cycles
is never uniform. - The average distribution of a quantum walk on any Abelian
circulant graph is never uniform. As a corollary, the average distribution of a
quantum walk on any standard circulant graph, such as the cycles, complete
graphs, and even hypercubes, is never uniform. | | Source: | arXiv, 0708.2096 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER