|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Qudit hypergraph states and their properties | | Fei-Lei Xiong
; Yi-Zheng Zhen
; Wen-Fei Cao
; Kai Chen
; Zeng-Bing Chen
; | | Date: |
26 Jan 2017 | | Abstract: | Hypergraph states, a generalization of graph states, constitute a large class
of quantum states with intriguing non-local properties and have promising
applications in quantum information science and technology. In this paper, we
generalize the concept of hypergraph state to the qudit case, i.e., each vertex
in the generalized hypergraph represents a $d$-level quantum system instead of
a qubit. The generalized hypergraphs are named $d$-hypergraphs, and the
corresponding quantum states are called qudit hypergraph states. It is shown
that $d$-hypergraphs and $d$-level hypergraph states have a one-to-one
correspondence. We prove that if one part of a $d$-hypergraph is connected with
the other part, the corresponding subsystems are entangled. More generally, the
structure of a $d$-hypergraph reveals the entanglement property of the
corresponding quantum state. Bell non-locality, an important resource in
fulfilling quantum information tasks, is also investigated. These states’
responses to the generalized $Z$ ($X$) operations and $Z$ ($X$) measurements
are studied. | | Source: | arXiv, 1701.7733 | | 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