A geometric perspective: experimental evaluation of the quantum Cramer-Rao bound

• URL: http://arxiv.org/abs/2204.13777v2
• Date: Thu, 23 May 2024 03:47:40 GMT
• Title: A geometric perspective: experimental evaluation of the quantum Cramer-Rao bound
• Abstract summary: The power of quantum sensing rests on its ultimate precision limit, quantified by the quantum Cramer-Rao bound (QCRB) We show how fundamental quantum uncertainty principles prevent the saturation of the bound. By linking a metric of "quantumness" to the system geometric properties, we investigate and experimentally extract the attainable QCRB.
• Score: 6.769314213969649
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The power of quantum sensing rests on its ultimate precision limit, quantified by the quantum Cramer-Rao bound (QCRB), which can surpass classical bounds. In multi-parameter estimation, the QCRB is not always saturated as the quantum nature of associated observables may lead to their incompatibility. Here we explore the precision limits of multi-parameter estimation through the lens of quantum geometry, enabling us to experimentally evaluate the QCRB via quantum geometry measurements. Focusing on two- and three-parameter estimation, we elucidate how fundamental quantum uncertainty principles prevent the saturation of the bound. By linking a metric of "quantumness" to the system geometric properties, we investigate and experimentally extract the attainable QCRB for three-parameter estimations.

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