title: Arbitrary Dicke-State Control of Symmetric Rydberg Ensembles.
abstract: We study the production of arbitrary superpositions of Dicke states via optimal control. We show that N atomic hyperfine qubits, interacting symmetrically via the Rydberg blockade, are well described by the Jaynes-Cummings Hamiltonian and fully controllable by phase-modulated microwaves driving Rydberg-dressed states. With currently feasible parameters, it is possible to generate states of ∼ten hyperfine qubits in ∼1  μs, assuming a fast microwave phase switching time. The same control can be achieved with a "dressed-ground control" scheme, which reduces the demands for fast phase switching at the expense of increased total control time.
authors.affiliation: Center for Quantum Information and Control (CQuIC), University of New Mexico, Albuquerque, New Mexico 87131, USA.|Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA.
authors.forename: Tyler
authors.initials: T
authors.lastname: Keating
authors.affiliation: Center for Quantum Information and Control (CQuIC), University of New Mexico, Albuquerque, New Mexico 87131, USA.|Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA.
authors.forename: Charles H
authors.initials: CH
authors.lastname: Baldwin
authors.affiliation: Center for Quantum Information and Control (CQuIC), University of New Mexico, Albuquerque, New Mexico 87131, USA.|Sandia National Laboratories, Albuquerque, New Mexico 87185, USA.
authors.forename: Yuan-Yu
authors.initials: YY
authors.lastname: Jau
authors.affiliation: Sandia National Laboratories, Albuquerque, New Mexico 87185, USA.
authors.forename: Jongmin
authors.initials: J
authors.lastname: Lee
authors.affiliation: Center for Quantum Information and Control (CQuIC), University of New Mexico, Albuquerque, New Mexico 87131, USA.|Sandia National Laboratories, Albuquerque, New Mexico 87185, USA.
authors.forename: Grant W
authors.initials: GW
authors.lastname: Biedermann
authors.affiliation: Center for Quantum Information and Control (CQuIC), University of New Mexico, Albuquerque, New Mexico 87131, USA.|Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA.
authors.forename: Ivan H
authors.initials: IH
authors.lastname: Deutsch