Entropy of entanglement and multifractal exponents for random states

Details Entropy of entanglement and multifractal exponents for random states Entropy of entanglement and multifractal exponents for random states

2008-07-23

arxiv.org/abs/0807.3716v1

Phys. Rev. A 79, 032308 (2009)

Physics

Quantum Physics

5 pages, 2 figures

Scientific paper

10.1103/PhysRevA.79.032308

We relate the entropy of entanglement of ensembles of random vectors to their
generalized fractal dimensions. Expanding the von Neumann entropy around its
maximum we show that the first order only depends on the participation ratio,
while higher orders involve other multifractal exponents. These results can be
applied to entanglement behavior near the Anderson transition.

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