most citedDestruction of Anderson localization by a weak nonlinearity

426 citations · 689 across the 7 of their papers we have counts for

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quant-ph200517 cited

Dissipative quantum chaos: transition from wave packet collapse to explosion

Gabriel G. Carlo, Giuliano Benenti, Dima L. Shepelyansky

Using the quantum trajectories approach we study the quantum dynamics of a dissipative chaotic system described by the Zaslavsky map. For strong dissipation the quantum wave functi…

quant-ph200514 cited

A model of deterministic detector with dynamical decoherence

Jae Weon Lee, Dmitri V. Averin, Giuliano Benenti +1

We discuss a deterministic model of detector coupled to a two-level system (a qubit). The detector is a quasi-classical object whose dynamics is described by the kicked rotator Ham…

quant-ph200420 cited

Quantum computation and analysis of Wigner and Husimi functions: toward a quantum image treatment

M. Terraneo, B. Georgeot, D. L. Shepelyansky

We study the efficiency of quantum algorithms which aim at obtaining phase space distribution functions of quantum systems. Wigner and Husimi functions are considered. Different qu…

quant-ph2004

Effects of decoherence and imperfections for quantum algorithms

A. A. Pomeransky, O. V. Zhirov, D. L. Shepelyansky

We study effects of static inter-qubit interactions and random errors in quantum gates on the stability of various quantum algorithms including the Grover quantum search algorithm…

quant-ph200365 cited

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…

quant-ph2003

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.…