Neural-Network Heuristics for Adaptive Bayesian Quantum Estimation

Quantum metrology promises unprecedented measurement precision but suffers in practice from the limited availability of resources such as the number of probes, their coherence time, or nonclassical quantum states. The adaptive Bayesian approach to parameter estimation allows an efficient use of reso...

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Manylion Llyfryddiaeth
Prif Awduron: Lukas J. Fiderer, Jonas Schuff, Daniel Braun
Fformat: Erthygl
Iaith:English
Cyhoeddwyd: American Physical Society 2021-04-01
Cyfres:PRX Quantum
Mynediad Ar-lein:http://doi.org/10.1103/PRXQuantum.2.020303
Disgrifiad
Crynodeb:Quantum metrology promises unprecedented measurement precision but suffers in practice from the limited availability of resources such as the number of probes, their coherence time, or nonclassical quantum states. The adaptive Bayesian approach to parameter estimation allows an efficient use of resources because of adaptive experiment design. For its practical success, fast numerical solutions for the Bayesian update and the adaptive experiment design are crucial. Here we show that neural networks can be trained to become fast and strong experiment-design heuristics using a combination of an evolutionary strategy and reinforcement learning. Neural-network heuristics are shown to outperform established heuristics for the technologically important example of frequency estimation of a qubit that suffers from dephasing. Our method of creating neural-network heuristics is very general and complements the well-studied sequential Monte Carlo method for Bayesian updates to form a complete framework for adaptive Bayesian quantum estimation.
ISSN:2691-3399