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Factorization of unitary matrices

List of known unitary matrices decompositions. Simple factorization of unitary transformations by Hubert de Guise, Olivia Di Matteo, and Luis L. Sánchez-Soto.

The canonical coset decomposition of unitary matrices through Householder transformations by Renan Cabreraa), Traci Strohecker, and Herschel Rabitz. Note: this decomposition only requires $N$ terms. Note: There is an apparent error in matrix $\vert R\rangle_{\vert U_2\rangle}$: entry $3,1$ must be $$ \frac{2+\sqrt{2}}{4}. $$

Factorization of unitary matrices by P Dita. Note: I used this one when searching unistochastic channels. My numerical method worked better with this one.

Random Unitary matrices by K Zyczkowski and M Kus Note: In this paper there is a reference to another one by Hurwitz. However, I was not able to find it, so I quote it. Also, the explanation is good.

fisica.txt · Last modified: 2021/01/25 06:13 by david