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We have decided to discontinue the publication of preprints on our preprint server end of 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.
A note on the Bloch representation of absolutely maximally entangled states
Bo Li, Shuhan Jiang, Shao-Ming Fei and Xianqing Li-JostAbstract
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