Detecting metrologically useful entanglement in the vicinity of Dicke states

Apellaniz, I. and Lucke, B. and Peise, J. and Klempt, C. and Tóth, Géza (2015) Detecting metrologically useful entanglement in the vicinity of Dicke states. NEW JOURNAL OF PHYSICS, 17. ISSN 1367-2630

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Abstract

We present a method to verify the metrological usefulness of noisy Dicke states of a particle ensemble with only a few collective measurements, without the need for a direct measurement of the sensitivity. Our method determines the usefulness of the state for the usual protocol for estimating the angle of rotation with Dicke states, which is based on the measurement of the second moment of a total spin component. It can also be used to detect entangled states that are useful for quantum metrology. We test our approach on recent experimental results.

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