Bayesian quantum frequency estimation in presence of collective dephasing

2013/11/30 by Katarzyna Macieszczak, Martin Fraas, Rafał Demkowicz-Dobrzański +1 · 1 citation
Computer Science · Physics and Astronomy · #Advanced Frequency and Time Standards #Atomic and Subatomic Physics Research #Bayesian probability #Dephasing #Gaussian #Noise (video) #Quantum #Quantum Information and Cryptography #Quantum decoherence #Quantum error correction #Quantum sensor #quant-ph

paper · pdf · doi:10.1088/1367-2630/16/11/113002

published as New J. Phys. 16, 113002 (2014) · 15 pages, 3 figures

openalex publication_date 2014/10/30 · arxiv created 2014/10/31 · arxiv updated 2015/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We advocate a Bayesian approach to optimal quantum frequency estimation—an important issue for future quantum enhanced atomic clock operation. The approach provides a clear insight into the interplay between decoherence and the extent of prior knowledge in determining the optimal interrogation times and optimal estimation strategies. We propose a general framework capable of describing local oscillator noise as well as additional collective atomic dephasing effects. For a Gaussian noise, the average Bayesian cost can be expressed using the quantum Fisher information. Thus we establish a direct link between the two, often competing, approaches to quantum estimation theory.

Citations

• Entangled Fock states for robust quantum optical metrology, imaging, and sensing
• ‘Designer atoms’ for quantum metrology
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• JENSEN'S OPERATOR INEQUALITY

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• Closed-form Bayesian quantum estimation of Gaussian states

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