Solid State Quantum Computing Using Spectral Holes

We propose a method for addressing qubits using a method that combines spatial and spectral selectivity. The result is a design for quantum computation that provides the potential for a high density of quantum information storage and processing. Specifically, this method uses an ensemble of spectrally resolved atoms in a spectral hole burning solid. The quantum coupling is provided by strong atom-cavity interaction. Using a thin disk of diamond containing nitrogen-vacancy color centers as an example, we present an explicit model that may yield up to 300 coupled qubits in a single spot. We show how about 100 operations may take place in parallel, yielding close to $4\ifmmode\times\else\texttimes\fi{}{10}^{4}$ operations before decoherence.