109 citations · 150 across the 4 of their papers we have counts for
4 papers
Nonlinear delocalization on disordered Stark ladder
Ignacio Garcia-Mata, Dima L. Shepelyansky
We study effects of weak nonlineary on localization of waves in disordered Stark ladder corresponding to propagation in presence of disorder and a static field. Our numerical resul…
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…