Quantum Computing and the Onset of Quantum Chaotic Motion
CENTRO DI CULTURA SCIENTIFICA A VOLTA COMO (ITALY)
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We have extended the theory for the statistical average of the fidelity to incorporate system-specific fluctuations. The volume of phase space that contributes to the average vanishes in the classical limit for times less than the Ehrenfest time. It is only after the Ehrenfest time that the average decay is representative for a typical initial condition. We have studied fidelity decay and growth of entanglement in the Jaynes-Cummings model under echo dynamics for coherent initial states. Theoretical predictions based on linear response theory and semiclassical considerations agree with numerical simulations. We have shown that a quantum computer operating with a small number of qubits can simulate the important phenomenon of dynamical localization of classical chaos. We are initiating an investigation on plasmon-assisted transfer of entanglement, motivated by a very recent experimental demonstration.
- Quantum Theory and Relativity
- Numerical Mathematics
- Atomic and Molecular Physics and Spectroscopy