Thermodynamic Signatures of Genuinely Multipartite Entanglement

Abstract

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 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, generality of our approach allows to define suitable functions of ergotropies capturing the signature of $k$-nonseparability that characterizes qualitatively different manifestations of entanglement in multipartite systems.

Accepted in Physical Review Letters (close to accepted version)

References in corpus (14)

• The Quantum Internet
• Entanglement detection
• Taming multiparticle entanglement
• Measure of genuine multipartite entanglement with computable lower bounds
• Constructing N-qubit entanglement monotones from anti-linear operators
• A Triangle Governs Genuine Tripartite Entanglement
• Quantum battery based on quantum discord at room temperature
• Genuine multipartite entanglement measure
• Bound on Ergotropic Gap for Bipartite Separable States
• Ergotropy from quantum and classical correlations
• Work Generation from Thermal Noise by Quantum Phase-Sensitive Observation
• Random-Receiver Quantum Communication
• Entropy Meters and the Entropy of Non-extensive Systems
• Quantum correlations and ergotropy

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