41 citations · 110 across the 5 of their papers we have counts for
6 papers
Intermediate quantum maps for quantum computation
O. Giraud, B. Georgeot
We study quantum maps displaying spectral statistics intermediate between Poisson and Wigner-Dyson. It is shown that they can be simulated on a quantum computer with a small number…
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…
Quantum Computation of a Complex System : the Kicked Harper Model
Benjamin Levi, Bertrand Georgeot
The simulation of complex quantum systems on a quantum computer is studied, taking the kicked Harper model as an example. This well-studied system has a rich variety of dynamical b…
Quantum Computing of Poincare Recurrences and Periodic Orbits
B. Georgeot
Quantum algorithms are built enabling to find Poincaré recurrence times and periodic orbits of classical dynamical systems. It is shown that exponential gain compared to classical…
Quantum Computing of Quantum Chaos in the Kicked Rotator Model
B. Levi, B. Georgeot, D. L. Shepelyansky
We investigate a quantum algorithm which simulates efficiently the quantum kicked rotator model, a system which displays rich physical properties, and enables to study problems of…
Efficient quantum computing insensitive to phase errors
B. Georgeot, D. L. Shepelyansky
We show that certain computational algorithms can be simulated on a quantum computer with exponential efficiency and be insensitive to phase errors. Our explicit algorithm simulate…