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

• URL: http://arxiv.org/abs/2306.12856v1
• Date: Thu, 22 Jun 2023 13:07:07 GMT
• Title: Efficient detection for quantum states containing fewer than $k$ unentangled particles in multipartite quantum systems
• Authors: Yabin Xing, Yan Hong, Limin Gao, Ting Gao, Fengli Yan
• Abstract summary: We 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.
• Score: 1.2319543784920304
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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