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Quantum computation of multifractal exponents through the quantum wavelet transform
I. Garcia-Mata, O. Giraud, B. Georgeot
We study the use of the quantum wavelet transform to extract efficiently information about the multifractal exponents for multifractal quantum states. We show that, combined with q…
Entropy of entanglement and multifractal exponents for random states
Olivier Giraud, John Martin, Bertrand Georgeot
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…
Classicality of spin states
Olivier Giraud, Petr Braun, Daniel Braun
We extend the concept of classicality in quantum optics to spin states. We call a state ``classical'' if its density matrix can be decomposed as a weighted sum of angular momentum…
Quantum computing of semiclassical formulas
B. Georgeot, O. Giraud
We show that semiclassical formulas such as the Gutzwiller trace formula can be implemented on a quantum computer more efficiently than on a classical device. We give explicit quan…