title: Mesoscopic Rydberg gate based on electromagnetically induced transparency.
abstract: We demonstrate theoretically a parallelized C-NOT gate which allows us to entangle a mesoscopic ensemble of atoms with a single control atom in a single step, with high fidelity and on a microsecond time scale. Our scheme relies on the strong and long-ranged interaction between Rydberg atoms triggering electromagnetically induced transparency. By this we can robustly implement a conditional transfer of all ensemble atoms between two logical states, depending on the state of the control atom. We outline a many-body interferometer which allows a comparison of two many-body quantum states by performing a measurement of the control atom.
authors.affiliation: Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria.
authors.forename: M
authors.initials: M
authors.lastname: Müller
authors.forename: I
authors.initials: I
authors.lastname: Lesanovsky
authors.forename: H
authors.initials: H
authors.lastname: Weimer
authors.forename: H P
authors.initials: HP
authors.lastname: Büchler
authors.forename: P
authors.initials: P
authors.lastname: Zoller