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Multidimensional Quantum Estimation and Model Learning Framework Based on Variational Bayesian Inference

Federico Belliardo ^1,2,*, Erik M. Gauger ¹, Mohamed H. Abobeih ^3,4, Tim H. Taminiau ^3,4, Yoann Altmann ^5,†, and Cristian Bonato ^1,‡

¹Institute of Photonics and Quantum Sciences, SUPA, School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
²Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
³QuTech, Delft University of Technology, PO Box 5046, Delft 2600 GA, The Netherlands
⁴Kavli Institute of Nanoscience Delft, Delft University of Technology, PO Box 5046, Delft 2600 GA, The Netherlands
⁵Institute of Signals, Sensors and Systems, School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom

^*Contact author: federico.belliardo@gmail.com
^†Contact author: y.altmann@hw.ac.uk
^‡Contact author: c.bonato@hw.ac.uk

Measurement incompatibility in Bayesian multiparameter quantum estimation

Francesco Albarelli, Dominic Branford, and Jesús Rubio

Quantum 10 2192 (2026)

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ISSN 2691-3399 (online).

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