426 citations · 5.6k across the 221 of their papers we have counts for
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Quantum chaos and random matrix theoryfor fidelity decay in quantum computationswith static imperfections
Klaus M. Frahm, Robert Fleckinger, Dima L. Shepelyansky
We determine the universal law for fidelity decayin quantum computations of complex dynamics in presenceof internal static imperfections in a quantum computer. Our approach is base…
Dynamical localization, measurements and quantum computing
M. Terraneo, D. L. Shepelyansky
We study numerically the effects of measurements on dynamical localization in the kicked rotator model simulated on a quantum computer. Contrary to the previous studies, which show…
Treatment of sound on quantum computers
Jae Weon Lee, Alexei Chepelianskii, Dima Shepelyansky
We study numerically how a sound signal stored in a quantum computer can be recognized and restored with a minimal number of measurements in presence of random quantum gate errors.…
Quantum computation of the Anderson transition in presence of imperfections
Andrei A. Pomeransky, Dima L. Shepelyansky
We propose a quantum algorithm for simulation of the Anderson transition in disordered lattices and study numerically its sensitivity to static imperfections in a quantum computer.…
Imperfection effects for multiple applications of the quantum wavelet transform
Marcello Terraneo, Dima L. Shepelyansky
We study analytically and numerically the effects of various imperfections in a quantum computation of a simple dynamical model based on the Quantum Wavelet Transform (QWT). The re…
Delocalizing effect of the Hubbard repulsion for electrons on a two-dimensional disordered lattice
Bhargavi Srinivasan, Giuliano Benenti, Dima L. Shepelyansky
We study numerically the ground-state properties of the repulsive Hubbard model for spin-1/2 electrons on two-dimensional lattices with disordered on-site energies. The projector q…