144 citations · 1k across the 36 of their papers we have counts for
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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…
Shor's factorization algorithm with a single control qubit and imperfections
Ignacio Garcia-Mata, Klaus M. Frahm, Dima L. Shepelyansky
We formulate and numerically simulate the single control qubit Shor algorithm for the case of static imperfections induced by residual couplings between qubits. This allows us to s…
Delocalization induced by nonlinearity in systems with disorder
Ignacio Garcia-Mata, Dima L. Shepelyansky
We study numerically the effects of nonlinearity on the Anderson localization in lattices with disorder in one and two dimensions. The obtained results show that at moderate streng…