From topological to quantum entanglement

D. Melnikov*, A. Mironov, S. Mironov, A. Morozov, An Morozov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


Entanglement is a special feature of the quantum world that reflects the existence of subtle, often non-local, correlations between local degrees of freedom. In topological theories such non-local correlations can be given a very intuitive interpretation: quantum entanglement of subsystems means that there are “strings” connecting them. More generally, an entangled state, or similarly, the density matrix of a mixed state, can be represented by cobordisms of topological spaces. Using a formal mathematical definition of TQFT we construct basic examples of entangled states and compute their von Neumann entropy.

Original languageEnglish
Article number116
JournalJournal of High Energy Physics
Issue number5
StatePublished - 1 May 2019
Externally publishedYes


  • Chern-Simons Theories
  • Topological Field Theories

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