87 citations · 253 across the 8 of their papers we have counts for
Showing 2005Show all
3 papers · 1 filter
quant-ph2005
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…
cond-mat.other2005★ 55 cited
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…
cond-mat.dis-nn2005★ 1 cited
Phonon modes in the Frenkel-Kontorova chain: exponential localization and the number theory properties of frequency bands
O. V. Zhirov, G. Casati, D. L. Shepelyansky
We study numerically phonon modes of the classical one-dimensional Frenkel-Kontorova chain, in the regime of pinned phase characterized by the phonon gap and devil's staircase, as…