New paper accepted by Quantum Science and Technology: https://doi.org/10.1088/2058-9565/ad8513. A preprint, before a minor revision was accepted, is available at https://arxiv.org/abs/2403.12896.
This work generalizes the celebrated Onsager relations in statistical physics using Fisher information in parameter estimation theory, revealing a remarkable connection between the two areas.
Bug fixes.
A4 paper size: https://www.ece.nus.edu.sg/stfpage/tmk/Quantum_Optics_v0.2.1.pdf
US letter paper size: https://www.ece.nus.edu.sg/stfpage/tmk/Quantum_Optics_letterpaper_v0.2.1.pdf
I am sharing the lecture notes for an undergraduate course PC4246 Quantum Optics that I will be teaching at NUS next semester:
https://www.ece.nus.edu.sg/stfpage/tmk/Quantum_Optics_v0.2.pdf
Still very rough; use at your own risk. Comments welcome. I include only topics that are essential in my humble and very biased opinion and I have to omit many other important topics; apologies if I omit your favorites. The course will cover Chapter 1-12. Chapter 13 is the beginning of an attempt to bridge between the basics and my own research; hope to add more chapters in the future.
| Xiao-Jie Tan and Mankei Tsang | Quantum limit to subdiffraction incoherent optical imaging. III. Numerical analysis | Physical Review A 108, 052416 (2023) |
| Mankei Tsang | Quantum noise spectroscopy as an incoherent imaging problem | Invited Talk | 53rd Winter Colloquium on the Physics of Quantum Electronics, Snowbird, Utah, USA | 2024-01-10 |
| Mankei Tsang | Quantum-inspired incoherent imaging and optomechanical sensing | IQIM Seminar, Caltech, USA | 2024-01-12 |
Our latest work on quantum conditional expectations is published in Quantum:
| Mankei Tsang | Operational meanings of a generalized conditional expectation in quantum metrology | Quantum 7, 1162 (2023) |
This work is a continuation of the following:
| Mankei Tsang | Generalized conditional expectations for quantum retrodiction and smoothing | Physical Review A 105, 042213 (2022) |
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
A recording of my seminar “Resolving starlight: a quantum perspective” at the Kavli Institute for Theoretical Physics (KITP), University of California-Santa Barbara (under the program “New Directions in Quantum Metrology“) on 13 Sep, 2023 is here:
https://online.kitp.ucsb.edu/online/qmetro23/tsang/
The slides can be found at the website above or here.
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.