Linear Ascending Metrological Algorithm

Abstract

The ubiquitous presence of shot noise sets a fundamental limit to the measurement precision in classical metrology. Recent advances in quantum devices and novel quantum algorithms utilizing interference effects are opening new routes for overcoming the detrimental noise tyranny. However, further progress is limited by the restricted capability of existing algorithms to account for the decoherence pervading experimental implementations. Here, adopting a systematic approach to the evaluation of effectiveness of metrological procedures, we devise the Linear Ascending Metrological Algorithm (LAMA), which offers a remarkable increase in precision in the demanding situation where a decohering quantum system is used to measure a continuously distributed variable. We introduce our protocol in the context of magnetic field measurements, assuming superconducting transmon devices as sensors operated in a qudit mode. Our findings demonstrate a quantum-metrological procedure capable of mitigating detrimental dephasing and relaxation effects.

12 pages, 7 figures

References in corpus (7)

• Charge insensitive qubit design derived from the Cooper pair box
• Entanglement-free Heisenberg-limited phase estimation
• Coherence and Decay of Higher Energy Levels of a Superconducting Transmon Qubit
• Ultrasensitive magnetic field detection using a single artificial atom
• Nanoscale magnetometry using a single spin system in diamond
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