Timeline for How to quickly calculate the custom U3 gate parameters $\theta, \phi$ and $\lambda$ for any unitary?

11 events

when toggle format	what		by	license	comment
Jun 4, 2019 at 15:19	history	edited	Sanchayan Dutta	CC BY-SA 4.0	added 230 characters in body
May 26, 2019 at 10:25	comment	added	Sanchayan Dutta		I didn't think about that before. Anyway, the traces you mention don't really look "nice". Say $\mathrm{Tr}(U\sigma_1) = -e^{i\lambda}\sin(\frac{\theta}{2})+e^{i\phi}\sin(\frac{\theta}{2})$. There is more than one variable involved in each such trace; a simple arcsin/arccos wouldn't work...at least the way I'm seeing it.
May 26, 2019 at 9:55	comment	added	glS♦		what about taking the traces $\mathrm{Tr}(U\sigma_i)$ for the different Pauli matrices $\sigma_i$ to get the components of the matrix and then just applying $\arccos$ etc where necessary? (I'm asking in case you already considered that but it didn't suit you for some reason)
May 26, 2019 at 9:45	history	edited	Sanchayan Dutta	CC BY-SA 4.0	deleted 141 characters in body
May 26, 2019 at 9:25	history	edited	Sanchayan Dutta	CC BY-SA 4.0	deleted 10 characters in body
May 26, 2019 at 9:18	history	edited	Sanchayan Dutta	CC BY-SA 4.0	deleted 10 characters in body
May 26, 2019 at 9:10	history	edited	Sanchayan Dutta	CC BY-SA 4.0	added 8 characters in body
May 26, 2019 at 8:30	history	edited	Sanchayan Dutta	CC BY-SA 4.0	added 2 characters in body
May 26, 2019 at 8:22	history	edited	Sanchayan Dutta	CC BY-SA 4.0	added 279 characters in body
May 26, 2019 at 6:31	history	edited	Sanchayan Dutta	CC BY-SA 4.0	added 2 characters in body
May 26, 2019 at 3:37	history	answered	Sanchayan Dutta	CC BY-SA 4.0