Macroscopic bound entanglement in thermal graph states

D. Cavalcanti*, L. Aolita, A. Ferraro, A. Garcia-Saez, A. Acin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


We address the presence of bound entanglement in strongly interacting spin systems at thermal equilibrium. In particular, we consider thermal graph states composed of an arbitrary number of particles. We show that for a certain range of temperatures no entanglement can be extracted by means of local operations and classical communication, even though the system is still entangled. This is found by harnessing the independence of the entanglement in some bipartitions of such states with the system's size. Specific examples for one- and two-dimensional systems are given. Our results thus prove the existence of thermal bound entanglement in an arbitrary large spin system with finite-range local interactions.

Original languageEnglish
Article number025011
Number of pages12
JournalNew Journal of Physics
Publication statusPublished - 26 Feb 2010



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