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Phys. Rev. A 68, 032318 (2003) [8 pages]

Entanglement and correlation in anisotropic quantum spin systems

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Ulrich Glaser
Integrated Systems Laboratory, ETH Zürich, CH-8092 Zürich, Switzerland
CL DAT LIB IO, Infineon Technologies, D-81541 München, Germany

Helmut Büttner
Theoretische Physik I, Universität Bayreuth, D-95440 Bayreuth, Germany

Holger Fehske
Institut für Physik, Theoretische Physik II, Universität Greifswald, D-17487 Greifswald, Germany

Received 17 May 2003; published 30 September 2003

Analytical expressions for the entanglement measures concurrence, i-concurrence, and 3-tangle in terms of spin correlation functions are derived using general symmetries of the quantum spin system. These relations are exploited for the one-dimensional XXZ model, in particular the concurrence and the critical temperature for disentanglement are calculated for finite systems with up to six qubits. A recent NMR quantum error correction experiment is analyzed within the framework of the proposed theoretical approach.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.032318
DOI:
10.1103/PhysRevA.68.032318
PACS:
03.67.-a, 03.65.Ud, 05.50.+q, 75.10.Jm