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...

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...

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