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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
46/2010

Faithful Teleportation with Arbitrary Pure or Mixed States

Ming-Jing Zhao, Zong-Guo Li, Shao-Ming Fei, Zhi-Xi Wang and Xianqing Li-Jost

Abstract

Faithful teleportation of an unknown state $|\phi\rangle$ in ${\mathbb{C}}^d$ is considered, where a general entangled state $\rho$ is served as the resource. The necessary conditions of mixed states to complete perfect teleportation are proved. Based on these results, the necessary and sufficient conditions of faithful teleportation channel $\rho$ in ${\mathbb{C}}^m \otimes {\mathbb{C}}^d $ and ${\mathbb{C}}^d \otimes {\mathbb{C}}^n $ are derived. It is shown that for $\rho$ in ${\mathbb{C}}^m \otimes {\mathbb{C}}^d $, $\rho$ must be a maximally entangled state, while for $\rho$ in $ {\mathbb{C}}^d \otimes{\mathbb{C}}^n $, $\rho$ must be a mixed or pure maximally entangled state. Furthermore, the sender's measurements must be all projectors of maximally entangled states. On the other hand, for $m,\,n > d$, we present some classes of states for faithful teleportation.

Received:
Aug 27, 2010
Published:
Sep 27, 2010

Related publications

inJournal
2011 Repository Open Access
Ming-Jing Zhao, Zong-Guo Li, Shao-Ming Fei, Zhi-Xi Wang and Xianqing Li-Jost

Faithful teleportation with arbitrary pure or mixed resource states

In: Journal of physics / A, 44 (2011) 21, p. 215302