dorsal/arxiv
View SchemaDiverging Entanglement Length in Gapped Quantum Spin Systems
| Authors | F. Verstraete, M. A. Martin-Delgado, J. I. Cirac |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311087 |
| URL | https://arxiv.org/abs/quant-ph/0311087 |
| DOI | 10.1103/PhysRevLett.92.087201 |
| Journal | Phys. Rev. Lett. 92, 087201 (2004) |
Abstract
We prove the existence of gapped quantum Hamiltonians whose ground states exhibit an infinite entanglement length, as opposed to their finite correlation length. Using the concept of entanglement swapping, the localizable entanglement is calculated exactly for valence bond and finitely correlated states, and the existence of the so--called string-order parameter is discussed. We also report on evidence that the ground state of an antiferromagnetic chain can be used as a perfect quantum channel if local measurements on the individual spins can be implemented.
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"abstract": "We prove the existence of gapped quantum Hamiltonians whose ground states\nexhibit an infinite entanglement length, as opposed to their finite correlation\nlength. Using the concept of entanglement swapping, the localizable\nentanglement is calculated exactly for valence bond and finitely correlated\nstates, and the existence of the so--called string-order parameter is\ndiscussed. We also report on evidence that the ground state of an\nantiferromagnetic chain can be used as a perfect quantum channel if local\nmeasurements on the individual spins can be implemented.",
"arxiv_id": "quant-ph/0311087",
"authors": [
"F. Verstraete",
"M. A. Martin-Delgado",
"J. I. Cirac"
],
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"quant-ph",
"cond-mat"
],
"doi": "10.1103/PhysRevLett.92.087201",
"journal_ref": "Phys. Rev. Lett. 92, 087201 (2004)",
"title": "Diverging Entanglement Length in Gapped Quantum Spin Systems",
"url": "https://arxiv.org/abs/quant-ph/0311087"
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