426 citations · 5.6k across the 221 of their papers we have counts for
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Loschmidt cooling by time reversal of atomic matter waves
J. Martin, B. Georgeot, D. L. Shepelyansky
We propose an experimental scheme which allows to realize approximate time reversal of matter waves for ultracold atoms in the regime of quantum chaos. We show that a significant f…
Quantum phase estimation algorithm in presence of static imperfections
Ignacio Garcia-Mata, Dima L. Shepelyansky
We study numerically the effects of static imperfections and residual couplings between qubits for the quantum phase estimation algorithm with two qubits. We show that the success…
Fractal Weyl law for quantum fractal eigenstates
D. L. Shepelyansky
The properties of the resonant Gamow states are studied numerically in the semiclassical limit for the quantum Chirikov standard map with absorption. It is shown that the number of…
Destruction of Anderson localization by a weak nonlinearity
A. S. Pikovsky, D. L. Shepelyansky
We study numerically a spreading of an initially localized wave packet in a one-dimensional discrete nonlinear Schrödinger lattice with disorder. We demonstrate that above a certai…
Effects of imperfections for Shor's factorization algorithm
Ignacio Garcia-Mata, Klaus M. Frahm, Dima L. Shepelyansky
We study effects of imperfections induced by residual couplings between qubits on the accuracy of Shor's algorithm using numerical simulations of realistic quantum computations wit…