Berlin 2005 – wissenschaftliches Programm
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Q: Quantenoptik und Photonik
Q 52: Quanteninformation III
Q 52.5: Vortrag
Dienstag, 8. März 2005, 18:00–18:15, HU Audimax
Entanglement, Entropy, and Area — •Julian Dreißig1, Marcus Cramer1, Martin B. Plenio2, and Jens Eisert1,2 — 1Institut für Physik, Universität Potsdam, Am Neuen Palais 10, D-14469 Potsdam — 2Blackett Laboratory, Imperial College London, Prince Consort Road, SW7 2BW London
Starting from the question of the relation between entanglement, entropy, and area for harmonic lattice Hamiltonians we derive a strict relationship between the surface area of a distinguished hypercube and the degree of entanglement between this region and the rest of the lattice, in arbitrary dimensions [1]. Whereas for pure states the von Neumann entropy is used to characterize the degree of entanglement, we show that similar bounds can be found for mixed thermal states and corresponding operational entanglement measures as the distillable entanglement. Our analysis applied to systems with next-neighbor interactions can be extended to the limit of a free real Klein-Gordon field. We furthermore consider more general interaction types and systems with criticalities, including finite-size effects. We also show that these techniques for describing quantum systems can be used to establish a similar area-dependence for classical systems.
[1] M. B. Plenio, J. Eisert, J. Dreissig, and M. Cramer, submitted to Phys. Rev. Lett., quant-ph/0405142.