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

Abstract

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
Volume2019
Issue number5
DOIs
StatePublished - 1 May 2019
Externally publishedYes

Keywords

  • Chern-Simons Theories
  • Topological Field Theories

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