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Cross-Kerr non-linearities for quantum non-demolition measurement

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Quantum Control Engineering: Mathematical Principles and Applications

Various proposals exist that exploit cross-Kerr non-linearities between electromagnetic fields, for quantum non-demolition (QND) measurements, and other related protocols. Typically, these proposals assume the existence of such non-linearities, based on a presumption that the internal dynamics of the medium can be eliminated from the problem. I will discuss some recent work in which we explicitly include the medium. We show that homodyne detection of a probe field, plus classical signal processing, is sufficient to yield an itinerant microwave photon counter with fidelities above 90%. Our analysis has implications for the validity of a wider range of proposed cross-Kerr based quantum information protocols, which may need revision in consequence.

This talk is part of the Isaac Newton Institute Seminar Series series.

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