On the qubit limit of cavity nonlinear optics

Abstract

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.

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

References in corpus (7)

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• Mesoscopic ultrafast nonlinear optics -- The emergence of multimode quantum non-Gaussian physics
• Optical Devices based on Limit Cycles and Amplification in Semiconductor Optical Cavities
• Two-photon self-Kerr nonlinearities for quantum computing and quantum optics
• Quantum Correlations in the Kerr Ising Model
• Fundamental charge noise in electro-optic photonic integrated circuits
• Low dimensional manifolds for exact representation of open quantum systems
• Zeno Dynamics for Open Quantum Systems
• Low-Temperature Annihilation Rate for Quasi-Localized Excitons in Monolayer MoS2
• On The Scattering Process in Quantum Optics
• Model reduction of cavity nonlinear optics for photonic logic: A quasi-principal components approach
• Characteristic Operator Functions for Quantum Input-Plant-Output Models & Coherent Control
• On the generalization of linear least mean squares estimation to quantum systems with non-commutative outputs
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