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arXiv · 2306.12856

Efficient detection for quantum states containing fewer than $k$ unentangled particles in multipartite quantum systems

Yabin Xing·Yan Hong·Limin Gao·Ting Gao·Fengli Yan
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Abstract

In this paper, we mainly investigate the detection of quantum states containing fewer than $k$ unentangled particles in multipartite quantum systems. Based on calculations about operators, we derive two practical criteria for judging $N$-partite quantum states owning fewer than $k$ unentangled particles. In addition, we demonstrate the effectiveness of our frameworks through some concrete examples, and specifically point out the quantum states having fewer than $k$ unentangled particles that our methods can detect, while other criteria cannot recognize.

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Yabin Xing, Yan Hong, Limin Gao, Ting Gao, Fengli Yan. 2023-06-22. Efficient detection for quantum states containing fewer than $k$ unentangled particles in multipartite quantum systems. https://doi.org/10.1007/s11128-023-04233-5

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