55 citations · 64 across the 4 of their papers we have counts for
6 papers
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…
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…
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…
Big Entropy Fluctuations in Statistical Equilibrium: The Fluctuation Law
Boris Chirikov, Oleg Zhirov
The structure of very complicated irregular "microscopic" (local) entropy fluctuations around a big separated "macroscopic" (global) fluctuation in the statistical equilibrium was…
On the Fluctuation Law(s) for Hamiltonian systems (with equilibrium steady state): A Comment on cond-mat/0008421
Boris Chirikov, Oleg Zhirov
A generalization of the fluctuation law (FL) ("theorem"), formulated in 1993 by Evans, Cohen and Morriss for a nonequilibrium steady state, on the chaotic Hamiltonian systems with…