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Multifractal wave functions of simple quantum maps
John Martin, Ignacio Garcia-Mata, Olivier Giraud +1
We study numerically multifractal properties of two models of one-dimensional quantum maps, a map with pseudointegrable dynamics and intermediate spectral statistics, and a map wit…
Multiqubit symmetric states with high geometric entanglement
J. Martin, O. Giraud, P. A. Braun +2
We propose a detailed study of the geometric entanglement properties of pure symmetric N-qubit states, focusing more particularly on the identification of symmetric states with a h…
Quantum algorithm for exact Monte Carlo sampling
Nicolas Destainville, Bertrand Georgeot, Olivier Giraud
We build a quantum algorithm which uses the Grover quantum search procedure in order to sample the exact equilibrium distribution of a wide range of classical statistical mechanics…
Spectral properties of the Google matrix of the World Wide Web and other directed networks
B. Georgeot, O. Giraud, D. L. Shepelyansky
We study numerically the spectrum and eigenstate properties of the Google matrix of various examples of directed networks such as vocabulary networks of dictionaries and university…
Quantifying Quantumness and the Quest for Queens of Quantum
Olivier Giraud, Petr A. Braun, Daniel Braun
We introduce a measure of ''quantumness'' for any quantum state in a finite dimensional Hilbert space, based on the distance between the state and the convex set of classical state…