426 citations · 5.6k across the 221 of their papers we have counts for
8 papers · 1 filter
Dissipative decoherence in the Grover algorithm
O. V. Zhirov, D. L. Shepelyansky
Using the methods of quantum trajectories we study effects of dissipative decoherence on the accuracy of the Grover quantum search algorithm. The dependence on the number of qubits…
Suppression of quantum chaos in a quantum computer hardware
J. Lages, D. L. Shepelyansky
We present numerical and analytical studies of a quantum computer proposed by the Yamamoto group in Phys. Rev. Lett. 89, 017901 (2002). The stable and quantum chaos regimes in the…
Quantum synchronization
O. V. Zhirov, D. L. Shepelyansky
Using the methods of quantum trajectories we study numerically the phenomenon of quantum synchronization in a quantum dissipative system with periodic driving. Our results show tha…
Quantum computing of delocalization in small-world networks
O. Giraud, B. Georgeot, D. L. Shepelyansky
We study a quantum small-world network with disorder and show that the system exhibits a delocalization transition. A quantum algorithm is built up which simulates the evolution op…
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…