Frankfurt 2006 – scientific programme

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Q: Quantenoptik und Photonik

Q 9: Quanteninformation I

Q 9.2: Talk

Monday, March 13, 2006, 14:15–14:30, HI

Single-Copy Entanglement, Criticality, and Entanglement-Area Laws in Quasi-Free Systems — •Marcus Cramer¹, Jens Eisert², Roman Orús³, Julian Dreissig¹, Martin Plenio², and José Ignacio Latorre³ — ¹Universität Potsdam — ²Imperial College London — ³Universitat de Barcelona

For harmonic bosonic systems on general graphs of arbitrary dimension we give an overview of the relation between decay of correlations, energy gap and entanglement area laws [1-3]. For critical one-dimensional spin chains we establish the fact that the entropy of entanglement of a block of spins is exactly twice the entanglement that can be distilled from a single copy of the chain [4,5].

[1] M.B. Plenio, J. Eisert, J. Dreissig, and M. Cramer, Phys. Rev. Lett. 94, 060503 (2005).

[2] M. Cramer, J. Eisert, M.B. Plenio, and J. Dreissig, Phys. Rev. A 72 (2005).

[3] M. Cramer and J. Eisert, quant-ph/0509167.

[4] J. Eisert and M. Cramer, Phys. Rev. A 72, 042112 (2005).

[5] R. Orus, J.I. Latorre, J. Eisert, and M. Cramer, submitted to Phys. Rev. Lett., quant-ph/0506023.