07 Jan

What is a Quantum Kalman Filter?

Cody Fan

A quantum Kalman filter is a recursive Bayesian filter used to predict and estimate the state of a quantum system, and was first introduced by Viacheslav Belavkin. It is described in his work (Belavkin, 1999). Another interesting work is the quantum extended Kalman filter. However, much of the r...

07 Aug

Slides for Presentation on von Mises Fisher Consensus

Cody Fan

Here is the link to the slides for von Mises Fisher Consensus as presented on Thursday during the lab meeting: https://docs.google.com/presentation/d/1O-YE76NR5W3VspuGz8c7o3kw252khtkzwVUPmlhnfqY/edit?usp=sharing

06 May

Consensus on a Quantum Network

Cody Fan

I have been thinking a bit on what consensus on a quantum network means and whether the solution for von Mises-Fisher consensus has any good application towards quantum information theory. There are 4 ways to define Consensus on a quantum network (Mazzarella, et al. 2015): Sigma Expectation Con...

11 Apr

von Mises Fisher Distributions in Quantum Information

Cody Fan

Last month Tsang-Kai emailed me his proof for the solution for KL Average for von Mises-Fisher distributions. Now we are looking for ways in which we can apply this to different real engineering problems that exist. One interesting application of von Mises-Fisher distributions is in Quantum Infor...

27 Jan

Progress on the Lagrangian approach to solving the KL Average of von Mises Fisher distributions

Cody Fan

This week, I finished reformulating the 2D case in the dot product notation and using the lagrangian approach. After converting dot products to the equivalent trigonometric representation, we get the same answer as our previous paper. This is exciting. It means that our approach has potential to wor...

29 Mar

COVID-19 Project Ideas

Cody Fan

Last Updated March 29, 2020. The COVID-19 Crisis is rapidly evolving, so this information may become out of date The COVID-19 virus first originated in Wuhan, China, in late December of 2019, and has become a global epidemic. Thus, due to the fact that LEMUR Lab has a high end laser cutter, and...

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