The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Localizable entanglement
Open accessAbstract
We consider systems of interacting spins and study the entanglement that can be localized, on average, between two separated spins by performing local measurements on the remaining spins. This concept of localizable entanglement (LE) leads naturally to notions like entanglement length and entanglement fluctuations. For both spin-$1∕2$ and spin-1 systems, we prove that the LE of a pure quantum state can be lower bounded by connected correlation functions. We further propose a scheme, based on matrix-product states and the Monte Carlo method, to efficiently calculate the LE for quantum states of a large number of spins. The virtues of LE are illustrated for various spin models. In particular, characteristic features of a quantum phase transition such as a diverging entanglement length can be observed. We also give examples for pure quantum states exhibiting a diverging entanglement length but finite correlation length. We have numerical evidence that the ground state of the antiferromagnetic spin-1 Heisenberg chain can serve as a perfect quantum channel. Furthermore, we apply the numerical method to mixed states and study the entanglement as a function of temperature.
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Cites
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
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Self-citationEntanglement in Quantum Critical Phenomena
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Self-citationPersistent Entanglement in Arrays of Interacting Particles
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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
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
Quantum entanglement in condensed matter systems
Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
Deterministic generation of a cluster state of entangled photons
Schwartz, I., Cogan, D., Schmidgall, E. R., Don, Y., Gantz, L., Kenneth, O., Lindner, N. H., & Gershoni, D. (2016) · Science · doi:10.1126/science.aah4758 · Cited by 396
Entanglement percolation in quantum networks
Acín, A., Cirac, J. I., & Lewenstein, M. (2007) · Nature Physics · doi:10.1038/nphys549 · Cited by 255
“This, or other related quantities like the localizable entanglement [15, 16], can be used as a figure of merit to characterize the state ρ and therefore the performance of the quantum network.”
BackgroundSelf-citation
Metadata
- Authors
- Popp, M., Verstraete, F., Martín-Delgado, M. A., & Cirac, J. I.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2005-04-04
- Volume
- 71
- Issue
- 4
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W3037533686
- Cited by
- 244
- References
- 13
- FWCI
- 10.45
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Popp, M., Verstraete, F., Martín-Delgado, M. A., & Cirac, J. I. (2005). Localizable entanglement. Physical Review A. https://doi.org/10.1103/physreva.71.042306
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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