Generating nonlinearities from conditional linear operations, squeezing and measurement for quantum computation and super-Heisenberg sensing

• URL: http://arxiv.org/abs/2101.12364v2
• Date: Fri, 19 Feb 2021 02:33:15 GMT
• Title: Generating nonlinearities from conditional linear operations, squeezing and measurement for quantum computation and super-Heisenberg sensing
• Authors: Mattias T. Johnsson, Pablo M. Poggi, Marco A. Rodr\'iguez, Rafael N. Alexander, Jason Twamley
• Abstract summary: We describe a novel protocol where one can effectively generate large optical nonlinearities. Our protocol can generate high quality optical Schr"odinger cat states useful for optical quantum computing. We describe a potential experimental implementation using atomic ensembles interacting with optical modes via the Faraday effect.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Large optical nonlinearities can have numerous applications, ranging from the generation of cat-states for optical quantum computation, through to quantum sensing where the sensitivity exceeds Heisenberg scaling in the resources. However, the generation of ultra-large optical nonlinearities has proved immensely challenging experimentally. We describe a novel protocol where one can effectively generate large optical nonlinearities via the conditional application of a linear operation on an optical mode by an ancilla mode, followed by a measurement of the ancilla and corrective operation on the probe mode. Our protocol can generate high quality optical Schr{\"{o}}dinger cat states useful for optical quantum computing and can be used to perform sensing of an unknown rotation or displacement in phase space, with super-Heisenberg scaling in the resources. We finally describe a potential experimental implementation using atomic ensembles interacting with optical modes via the Faraday effect.

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