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arXiv · 2601.11551

$\ell$-Multiranks of Multipartite Quantum States via Tensor Flattening: A Mathematica Codebase

Masoud Gharahi
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Abstract

We present a Mathematica codebase for computing $\ell$-multilinear ranks ($\ell$-multiranks) of multiqudit quantum states using tensor-flattening techniques. By calculating the ranks of all bipartition-induced matricizations, the method provides an efficient criterion for detecting Genuine Multipartite Entangled (GME) states in systems with local dimension $d$. The code automatically generates all required tensor reshapes and outputs the full $\ell$-multirank profile, offering a practical tool for characterizing entanglement in high-dimensional multiqudit systems.

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Masoud Gharahi. 2025-12-09. $\ell$-Multiranks of Multipartite Quantum States via Tensor Flattening: A Mathematica Codebase. https://arxiv.org/abs/2601.11551

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