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Title: Long-distance entanglement and quantum teleportation in XX spin chains

Journal Article · · Physical Review. A
 [1];  [2];  [3];  [2];  [3];  [4]
  1. ISI Foundation for Scientific Interchange, Villa Gualino, Viale Settimio Severo 65, I-10133 Turin (Italy)
  2. Dipartimento di Matematica e Informatica, Universita degli Studi di Salerno, Via Ponte don Melillo, I-84084 Fisciano (Italy)
  3. Italy
  4. Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484 (United States)

Isotropic XX models of one-dimensional spin-1/2 chains are investigated with the aim to elucidate the formal structure and the physical properties that allow these systems to act as channels for long-distance, high-fidelity quantum teleportation. We introduce two types of models: (i) open, dimerized XX chains, and (ii) open XX chains with small end bonds. For both models we obtain the exact expressions for the end-to-end correlations and the scaling of the energy gap with the length of the chain. We determine the end-to-end concurrence and show that model (i) supports true long-distance entanglement at zero temperature, while model (ii) supports 'quasi-long-distance' entanglement that slowly falls off with the size of the chain. Due to the different scalings of the gaps, respectively exponential for model (i) and algebraic in model (ii), we demonstrate that the latter allows for efficient qubit teleportation with high fidelity in sufficiently long chains even at moderately low temperatures.

OSTI ID:
21027990
Journal Information:
Physical Review. A, Vol. 76, Issue 5; Other Information: DOI: 10.1103/PhysRevA.76.052328; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
Country of Publication:
United States
Language:
English