Boundedness of entanglement entropy and split property of quantum spin chains (Q2868739)
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scientific article; zbMATH DE number 6239407
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness of entanglement entropy and split property of quantum spin chains |
scientific article; zbMATH DE number 6239407 |
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19 December 2013
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split property of von Neumann algebras
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quantum spin chain
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spectral gap
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entanglement entropy
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Boundedness of entanglement entropy and split property of quantum spin chains (English)
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The author shows that boundedness of entanglement entropy for pure states of bipartite quantum spin systems implies split a property of subsystems. A byproduct of this result is the validity of the split property with respect to left and right semi-infinite subsystems for translationally invariant pure ground states with spectral gap of one-dimensional quantum spin chains.
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