New paper, upcoming talks

Quantum conditional expectations

Our latest work on quantum conditional expectations is published in Quantum:

This work is a continuation of the following:

I gave a talk on the basic idea at the University of Toronto on Nov 10; the recording is here:

https://www.youtube.com/watch?v=dAkvLLvhlTw

and the slides are here:

https://drive.google.com/file/d/1GpNSbcrr-MI7cTqkTY32nWYck76mdGe6/view?usp=drive_link

Experiment on quantum-inspired superresolution

Xiao-Jie Tan, Luo Qi, Lianwei Chen, Aaron J. Danner, Pakorn Kanchanawong, and Mankei Tsang, “Quantum-inspired superresolution for incoherent imaging,” Optica 10, 1189-1194 (2023). [Open Access]

Experiment on quantum-inspired superresolution by our student Xiao-Jie Tan and postdoc Luo Qi. Using spatial-mode demultiplexing (SPADE), we demonstrate that we are able to find the locations of two subdiffraction point sources accurately, not just their separation. For extended objects that consist of multiple point sources, we also demonstrate that we are able to estimate their properties in terms of the moments.

Still very classical and proof-of-concept, but Luo Qi and Xiao-Jie Tan are working hard to demonstrate something more significant in the next few months.

Slides for recent talks

Efficient superoscillation measurement for incoherent optical imaging

Mankei Tsang, “Efficient superoscillation measurement for incoherent optical imaging,” IEEE Journal of Selected Topics in Signal Processing 11, 513-524 (2023) [arXiv PDF].

This work relates our previous works on moment estimation to the estimation of generalized Fourier coefficients in the context of superoscillation. A step towards a general quantum theory of image reconstruction.