79 citations · 389 across the 15 of their papers we have counts for
13 papers · 1 filter
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…
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…
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…
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…
Phase diagram for the Grover algorithm with static imperfections
A. A. Pomeransky, O. V. Zhirov, D. L. Shepelyansky
We study effects of static inter-qubit interactions on the stability of the Grover quantum search algorithm. Our numerical and analytical results show existence of regular and chao…
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…