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quant-ph2005★ 10 cited
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…
nlin.CD2005★ 8 cited
Finite geometries and diffractive orbits in isospectral billiards
Olivier Giraud
Several examples of pairs of isospectral planar domains have been produced in the two-dimensional Euclidean space by various methods. We show that all these examples rely on the sy…
nlin.CD2005★ 3 cited
Periodic orbits and semiclassical form factor in barrier billiards
Olivier Giraud
Using heuristic arguments based on the trace formulas, we analytically calculate the semiclassical two-point correlation form factor for a family of rectangular billiards with a ba…