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Entanglement versus correlations in spin systems

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Abstract
We consider pure quantum states of N>1 spins or qubits and study the average entanglement that can be localized between two separated spins by performing local measurements on the other individual spins. We show that all classical correlation functions provide lower bounds to this localizable entanglement, which follows from the observation that classical correlations can always be increased by doing appropriate local measurements on the other qubits. We analyze the localizable entanglement in familiar spin systems and illustrate the results on the hand of the Ising spin model, in which we observe characteristic features for a quantum phase transition such as a diverging entanglement length.

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Please use this url to cite or link to this publication:

MLA
Verstraete, Frank, et al. “Entanglement versus Correlations in Spin Systems.” PHYSICAL REVIEW LETTERS, vol. 92, no. 2, 2004, doi:10.1103/PhysRevLett.92.027901.
APA
Verstraete, F., Popp, M., & Cirac, J. (2004). Entanglement versus correlations in spin systems. PHYSICAL REVIEW LETTERS, 92(2). https://doi.org/10.1103/PhysRevLett.92.027901
Chicago author-date
Verstraete, Frank, M Popp, and JI Cirac. 2004. “Entanglement versus Correlations in Spin Systems.” PHYSICAL REVIEW LETTERS 92 (2). https://doi.org/10.1103/PhysRevLett.92.027901.
Chicago author-date (all authors)
Verstraete, Frank, M Popp, and JI Cirac. 2004. “Entanglement versus Correlations in Spin Systems.” PHYSICAL REVIEW LETTERS 92 (2). doi:10.1103/PhysRevLett.92.027901.
Vancouver
1.
Verstraete F, Popp M, Cirac J. Entanglement versus correlations in spin systems. PHYSICAL REVIEW LETTERS. 2004;92(2).
IEEE
[1]
F. Verstraete, M. Popp, and J. Cirac, “Entanglement versus correlations in spin systems,” PHYSICAL REVIEW LETTERS, vol. 92, no. 2, 2004.
@article{8594047,
  abstract     = {{We consider pure quantum states of N>1 spins or qubits and study the average entanglement that can be localized between two separated spins by performing local measurements on the other individual spins. We show that all classical correlation functions provide lower bounds to this localizable entanglement, which follows from the observation that classical correlations can always be increased by doing appropriate local measurements on the other qubits. We analyze the localizable entanglement in familiar spin systems and illustrate the results on the hand of the Ising spin model, in which we observe characteristic features for a quantum phase transition such as a diverging entanglement length.}},
  articleno    = {{027901}},
  author       = {{Verstraete, Frank and Popp, M and Cirac, JI}},
  issn         = {{0031-9007}},
  journal      = {{PHYSICAL REVIEW LETTERS}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{4}},
  title        = {{Entanglement versus correlations in spin systems}},
  url          = {{http://doi.org/10.1103/PhysRevLett.92.027901}},
  volume       = {{92}},
  year         = {{2004}},
}

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