Work

From topological to quantum entanglement

Year: 2019
Type: article
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.
Authors: D. Melnikov, A. Mironov, S. Mironov, A. Morozov, An. Morozov
Language: English
Open Access status: diamond
OpenAlex ID: W2892355911
FWCI: 2.194
Cites: 20
Cited by: 31
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