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Generating optical nonlinearity using trapped atoms

Gilchrist, Alexei; Milburn, Gerard J.; Munro, William J.; Nemoto, Kae


Keyword(s): quantum information; conditional measurements; quantum gates; qudits; universal computation

Abstract: We describe a scheme for producing an optical nonlinearity using an interaction with one or more ancilla two-level atomic systems. The nonlinearity, which can be implemented using high efficiency fluorescence shelving measurements, together with general linear transformations is sufficient for simulating arbitrary Hamiltonian evolution on a Fock state qudit. We give two examples of the application of this nonlinearity, one for the creation of nonlinear phase shifts on optical fields as required in single photon quantum computation schemes, and the other for the preparation of optical Schrodinger cat states. Notes: Alexei Gilchrist and Gerard J. Milburn, Centre for Quantum Computer Technology and Department of Physics, University of Queensland, QLD 4072, Brisbane, Australia. Kae Nemoto School of Informatics, Dean Street, Bangor University, Bangor LL57 1UT, U.K.

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