Research PaperNo Access

3-Uniform states and orthogonal arrays of strength 3

Yajuan Zang

College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, P. R. China

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Huijuan Zuo

College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, P. R. China

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Zihong Tian

College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, P. R. China

E-mail Address: tianzh68@163.com

Corresponding author.

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https://doi.org/10.1142/S0219749919500035Cited by:9 (Source: Crossref)

Abstract

A pure quantum state of $N$ $N$ subsystems with $d$ $d$ levels is called $k$ $k$ -uniform state if all its reductions to $k$ $k$ qudits are maximally mixed. We construct 3-uniform states for an arbitrary number of $N \geq 8$ $N \geq 8$ via orthogonal arrays and the method of adding minus signs mathematically.

Keywords:

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