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Diverging Entanglement Length in Gapped Quantum Spin Systems
Open accessAbstract
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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Cites
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., & Wootters, W. K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1895 · Cited by 13,703
Entanglement of Formation of an Arbitrary State of Two Qubits
Wootters, W. K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2245 · Cited by 8,290
Density matrix formulation for quantum renormalization groups
White, S. R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2863 · Cited by 7,702
‘‘Event-ready-detectors’’ Bell experiment via entanglement swapping
Żukowski, M., Zeilinger, A., Horne, M. A., & Ekert, A. K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.4287 · Cited by 2,045
Quantum information and physics: Some future directions
Preskill, J. (2000) · Journal of Modern Optics · doi:10.1080/095003400148097 · Cited by 154
Cited by
Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
Entanglement entropy and quantum field theory
Calabrese, P., & Cardy, J. (2004) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2004/06/p06002 · Cited by 3,275
Entanglement Entropy and Quantum Field Theory
Calabrese, P., & Cardy, J. (2004) · arXiv · doi:10.48550/arxiv.hep-th/0405152 · Cited by 3,275
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Evolution of entanglement entropy in one-dimensional systems
Calabrese, P., & Cardy, J. (2005) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2005/04/p04010 · Cited by 1,295
Metadata
- Authors
- Verstraete, F., Martín-Delgado, M. A., & Cirac, J. I.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2004-02-23
- Volume
- 92
- Issue
- 8
- Pages
- 087201-087201
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2024420461
- Cited by
- 364
- References
- 5
- FWCI
- 32.15
- Type
- journal article
- Language
- en
- Open access
- bronze
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