Thermal bound entanglement in macroscopic systems and area law

Alessandro Ferraro*, Daniel Cavalcanti, Artur Garcia-Saez, Antonio Acin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

45 Citations (Scopus)


Does bound entanglement naturally appear in quantum many-body systems? We address this question by showing the existence of bound-entangled thermal states for harmonic oscillator systems consisting of an arbitrary number of particles. By explicit calculations of the negativity for different partitions, we find a range of temperatures for which no entanglement can be distilled by means of local operations, despite the system being globally entangled. We offer an interpretation of this result in terms of entanglement-area laws, typical of these systems. Finally, we discuss generalizations of this result to other systems, including spin chains.

Original languageEnglish
Article number080502
Number of pages4
JournalPhysical Review Letters
Issue number8
Publication statusPublished - 29 Feb 2008




Dive into the research topics of 'Thermal bound entanglement in macroscopic systems and area law'. Together they form a unique fingerprint.

Cite this