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Universal logic gates for two quantum bits (qubits) form an essential ingredient of quantum computation. Dynamical gates have been proposed in the context of trapped ions; however, geometric phase gates (which change only the phase of the physical qubits) offer potential practical advantages because they have higher intrinsic resistance to certain small(More)
Experiments directed towards the development of a quantum computer based on trapped atomic ions are described briefly. We discuss the implementation of single-qubit operations and gates between qubits. A geometric phase gate between two ion qubits is described. Limitations of the trapped-ion method such as those caused by Stark shifts and spontaneous(More)
We show how an experimentally realized set of operations on a single trapped ion is sufficient to simulate a wide class of Hamiltonians of a spin-1/2 particle in an external potential. This system is also able to simulate other physical dynamics. As a demonstration, we simulate the action of two nth order nonlinear optical beam splitters comprising an(More)
Using a single, harmonically trapped 9Be(+) ion, we experimentally demonstrate a technique for generation of arbitrary states of a two-level particle confined by a harmonic potential. Rather than engineering a single Hamiltonian that evolves the system to a desired final state, we implement a technique that applies a sequence of simple operations to(More)
We report experiments on coherent quantum-state synthesis and the control of trapped atomic ions. This work has the overall goal of performing large-scale quantum information processing; however, such techniques can also be applied to fundamental tests and demonstrations of quantum mechanical principles, as well as to the improvement of quantum-limited(More)
We report on a simple, compact, and robust 780 nm distributed Bragg reflector laser with subkilohertz intrinsic linewidth. An external cavity with optical path length of 3.6 m, implemented with an optical fiber, reduces the laser frequency noise by several orders of magnitude. At frequencies above 100 kHz the frequency noise spectral density is reduced by(More)
We have recently used stimulated-Raman transitions in the resolved sideband regime to cool single ions to the n = 0 zero-point energy. This has allowed realizations of the Jaynes-Cummings model interaction for atomic motion and a quantum controlled-NOT gate applicable to a quantum computer. Bragg scattering has revealed long-range order in a sample of = l@(More)
Structures similar to those found on butterfly wings were produced holographically on thin layers of dichromated pullulan. Light propagation and scattering is studied in these nanometre periodic structures, and in the wings of Lepidoptera (moths and butterflies). We have found that the width of photonic band-gaps in each case is influenced by light(More)
In this paper we apply method of calculation of the reflectivity of one dimensional photonic crystal described in [1] but with significantly higher resolution and applied for the case of volume Bragg gratings which are made in our laboratory using dichromated pullulan. We show that calculated reflectivity as a function of incident wavelength contains(More)
We show theoretically and experimentally that propagation of Airy beams through LiNbO<sub>3</sub> crystal can be control by optically induced waveguides in the crystal. Airy beam acceleration can be reduced to the discrete solitons with a modification of the refractive index. Positive and negative defects can influence the beam self-bending as well as(More)