Distillable entanglement and area laws in spin and harmonic-oscillator systems

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

*Corresponding author for this work

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We address the presence of nondistillable (bound) entanglement in natural many-body systems. In particular, we consider standard harmonic and spin-1/2 chains, at thermal equilibrium and characterized by few interaction parameters. The existence of bound entanglement is addressed by calculating explicitly the negativity of entanglement for different partitions. This allows us to individuate a range of temperatures for which no entanglement can be distilled by means of local operations, despite the system being globally entangled. We discuss how the appearance of bound entanglement can be linked to entanglement-area laws, typical of these systems. Various types of interactions are explored, showing that the presence of bound entanglement is an intrinsic feature of these systems. In the harmonic case, we analytically prove that thermal bound entanglement persists for systems composed by an arbitrary number of particles. Our results strongly suggest the existence of bound entangled states in the macroscopic limit also for spin-1/2 systems.

Original languageEnglish
Article number012335
Number of pages10
JournalPhysical Review A (Atomic, Molecular, and Optical Physics)
Volume78
Issue number1
DOIs
Publication statusPublished - Jul 2008

Keywords

  • MIXED-STATE ENTANGLEMENT
  • SEPARABILITY CRITERION
  • BOUND ENTANGLEMENT
  • QUANTUM
  • ENTROPY

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