Thermodynamic Signatures of Genuinely Multipartite Entanglement,Physical Review Letters

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Thermodynamic Signatures of Genuinely Multipartite Entanglement
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-08-09 , DOI: 10.1103/physrevlett.129.070601
Samgeeth Puliyil ₁ , Manik Banik ₂ , Mir Alimuddin _{1,

2}

Affiliation

The theory of bipartite entanglement shares profound similarities with thermodynamics. In this Letter we extend this connection to multipartite quantum systems where entanglement appears in different forms with genuine entanglement being the most exotic one. We propose thermodynamic quantities that capture a signature of genuineness in multipartite entangled states. Instead of entropy, these quantities are defined in terms of energy—particularly the difference between global and local extractable works (ergotropies) that can be stored in quantum batteries. Some of these quantities suffice as faithful measures of genuineness and to some extent distinguish different classes of genuinely entangled states. Along with scrutinizing properties of these measures we compare them with the other existing genuine measures, and argue that they can serve the purpose in a better sense. Furthermore, the generality of our approach allows us to define suitable functions of ergotropies capturing the signature of

k

nonseparability that characterizes qualitatively different manifestations of entanglement in multipartite systems.

中文翻译：

真正多方纠缠的热力学特征

二分纠缠理论与热力学有着深刻的相似之处。在这封信中，我们将这种联系扩展到多方量子系统，其中纠缠以不同的形式出现，真正的纠缠是最奇特的一种。我们提出了在多方纠缠态中捕捉真实性特征的热力学量。这些量不是熵，而是用能量来定义的——特别是可以存储在量子电池中的全局和局部可提取功（热熵）之间的差异。其中一些量足以作为真实性的忠实衡量标准，并在一定程度上区分不同类别的真正纠缠态。除了审查这些措施的性质，我们将它们与其他现有的真正措施进行比较，并争辩说它们可以更好地服务于目的。此外，我们方法的通用性允许我们定义合适的 ergotropies 函数，捕获