Geometric genuine N-partite entanglement measure for arbitrary dimensions

IF 2.2 3区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Quantum Information Processing Pub Date : 2024-08-25 DOI:10.1007/s11128-024-04501-y

Hui Zhao, Pan-Wen Ma, Shao-Ming Fei, Zhi-Xi Wang

引用次数: 0

Abstract

We present proper genuine multipartite entanglement (GME) measures for arbitrary multipartite and dimensional systems. By using the volume of concurrence regular polygonal pyramid, we first derive the GME measure of four-partite quantum systems. From our measure, it is verified that the GHZ state is more entangled than the W state. Then, we study the GME measure for multipartite quantum states in arbitrary dimensions. A well-defined GME measure is constructed based on the volume of the concurrence regular polygonal pyramid. Detailed example shows that our measure can characterize better the genuine multipartite entanglements.

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任意维度的几何真正 N 部分纠缠度量

我们为任意多方和多维系统提出了适当的真正多方纠缠（GME）度量。通过使用并发正多边形金字塔的体积，我们首先推导出了四分位量子系统的 GME 度量。根据我们的度量，可以验证 GHZ 态比 W 态更具纠缠性。然后，我们研究了任意维度多方量子态的 GME 度量。根据并发正多边形金字塔的体积，我们构建了一个定义明确的 GME 度量。详细的例子表明，我们的度量能更好地表征真正的多方纠缠。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Quantum Information Processing 物理-物理：数学物理

CiteScore

4.10

自引率

20.00%

发文量

337

审稿时长

4.5 months

期刊介绍： Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.