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.
CITATION STYLE
Melnikov, D., Mironov, A., Mironov, S., Morozov, A., & Morozov, A. (2019). From topological to quantum entanglement. Journal of High Energy Physics, 2019(5). https://doi.org/10.1007/JHEP05(2019)116
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