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Trapped ions are one of the most promising candidates for quantum information applications. We describe an experimental setup using a linear rf Paul trap for confining 171Yb+ ions. In particular, the required lasers and lock setups are described. One of the key requirements for qubit manipulation is achieving high fidelity state-selective detection. A well established means to accomplish this is through the use of laser fluorescence. The fluorescence theory of 171Yb+, including the effect of coherent population trapping which can suppress the fluorescence, is documented together with the counter-acting effect of a magnetic field. In addition, the fluorescence theory of 174Yb+, which has simpler atomic structure, is also described for comparison. The resonance fluorescence behaviour of both isotopes is studied experimentally as a function of magnetic field, laser polarization, power and detuning. The experimental results for both isotopes agree with theoretical models, including the effect of coherent population trapping.
