Quantum Optics Lecture Notes v0.3.1

A4 size: https://www.ece.nus.edu.sg/stfpage/tmk/Quantum_Optics_v0.3.1.pdf

Letter size: https://www.ece.nus.edu.sg/stfpage/tmk/Quantum_Optics_v0.3.1_letterpaper.pdf

Updates after teaching PC4246 this semester. Clarifications of common issues, various improvements, and many bug fixes; see cover page for details. Major updates:

  1. Many students confuse the abstract Hilbert-space operators applicable to the abstract kets and bras (“Q-numbers”) with concrete derivatives applied to c-number functions, so Sec. 3.3 adds a clarification.
  2. The derivation of some Schrodinger-picture results is improved.
  3. The discussion of the CHSH inequality is now based on the CHSH game.

Quantum Onsager relations accepted by Quantum Science and Technology

Mankei Tsang, “Quantum Onsager relations,” Quantum Science and Technology 10, 015015 (2024); 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.

Quantum optics lecture notes

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.

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