Current Trends in Global Quantum Metrology

• URL: http://arxiv.org/abs/2411.03850v2
• Date: Wed, 12 Feb 2025 06:32:11 GMT
• Title: Current Trends in Global Quantum Metrology
• Authors: Chiranjib Mukhopadhyay, Victor Montenegro, Abolfazl Bayat,
• Abstract summary: Quantum sensors are universally acknowledged as one of the most promising near-term quantum technologies. We review some of the emerging developments in global quantum estimation. In the first approach, in order to achieve the best performance, one has to optimize the measurement settings adaptively.
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• Abstract: Quantum sensors are now universally acknowledged as one of the most promising near-term quantum technologies. The traditional formulation of quantum sensing introduces a concrete bound on ultimate precision through the so-called local sensing framework, in which a significant knowledge of prior information about the unknown parameter value is implicitly assumed. Moreover, the framework provides a systematic approach for optimizing the sensing protocol. In contrast, the paradigm of global sensing aims to find a precision bound for parameter estimation in the absence of such prior information. In recent years, vigorous research has been pursued to describe the contours of global quantum estimation. Here, we review some of these emerging developments. These developments are both in the realm of finding ultimate precision bounds with respect to appropriate figures of merit in the global sensing paradigm, as well as in the search for algorithms that achieve these bounds. We categorize these developments into two largely mutually exclusive camps; one employing Bayesian updating and the other seeking to generalize the frequentist picture of local sensing towards the global paradigm. In the first approach, in order to achieve the best performance, one has to optimize the measurement settings adaptively. In the second approach, the measurement setting is fixed, however the challenge is to identify this fixed measurement optimally.

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