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arXiv · 1809.04574

From Topological to Quantum Entanglement

D. Melnikov·A. Mironov·S. Mironov·A. Morozov·An. Morozov
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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.

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D. Melnikov, A. Mironov, S. Mironov, A. Morozov, An. Morozov. 2018-09-12. From Topological to Quantum Entanglement. https://doi.org/10.1007/jhep05(2019)116

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