Entropy of entanglement and multifractal exponents for random states
arXiv:0807.3716 · doi:10.1103/PhysRevA.79.032308
Abstract
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.
5 pages, 2 figures
References in corpus (11)
- Anderson Transitions
- DMRG and periodic boundary conditions: a quantum information perspective
- Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
- Quantum Chaos, Delocalization, and Entanglement in Disordered Heisenberg Models
- Entanglement entropy and multifractality at localization transitions
- Entanglement of random vectors
- Generalized entanglement as a framework for complex quantum systems: Purity vs delocalization measures
- Von Neumann entropy and localization-delocalization transition of electron states in quantum small-world networks
- Multifractality and intermediate statistics in quantum maps
- Quantum computation of the Anderson transition in presence of imperfections
- Entanglement in Disordered Systems at Criticality