On the qubit limit of cavity nonlinear optics

Physics – Quantum Physics

Scientific paper

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4 pages, 4 color figures, submitted to PRA/Brief; references modified 12/30/11

Scientific paper

Many proposals for solid-state photonic implementations of quantum information processing utilize high-quality optical resonators to achieve strong coupling between guided fields and heterogeneously incorporated qubits. Given the practical difficulty of accurately placing quantum dots, vacancy centers, or other such atom-like emitters throughout a complex nanophotonic circuit, it would be natural to consider whether high-quality resonators could be used in conjunction with bulk optical nonlinearities to create optically-coupled qubit degrees of freedom via lithographic patterning of a homogeneous medium. A recent limit theorem for quantum stochastic differential equations can be used to prove rigorously that this should be possible, in principle, using resonators incorporating a strongly Kerr-nonlinear, $\chi^{(2)}$-nonlinear, or two-photon absorbing material with very low loss at the fundamental optical wavelength.

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