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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
61/2017

A note on the Bloch representation of absolutely maximally entangled states

Bo Li, Shuhan Jiang, Shao-Ming Fei and Xianqing Li-Jost

Abstract

The absolutely maximally entangled (AME) states play key roles in quantum information processing. We provide an explicit expression of the generalized Bloch representation of AME states for general dimension d of individual subsystems and arbitrary number of partite n. Based on this analytic formula, we prove that the trace of the squared support for any given weight is given by the so-called hyper-geometric function and is irrelevant with the choices of the subsystems. The optimal point for the existence of AME states is obtained.

Received:
28.08.17
Published:
28.08.17
PACS:
03.67.-a, 03.65.Ud, 03.65.Yz

Related publications

inJournal
2018 Repository Open Access
Bo Li, Shu-Han Jiang, Shao-Ming Fei and Xianqing Li-Jost

A note on the Bloch representation of absolutely maximally entangled states

In: Science in China : physics, mechanics and astronomy, 61 (2018) 4, p. 040321