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arXiv · 1801.08476

A note on the Bloch representation of absolutely maximally entangled states

Bo Li·Shuhan Jiang·Shao-Ming Fei·Xianqing Li-Jost
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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.

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Bo Li, Shuhan Jiang, Shao-Ming Fei, Xianqing Li-Jost. 2018-01-25. A note on the Bloch representation of absolutely maximally entangled states. https://doi.org/10.1007/s11433-017-9133-6

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