Hmm … you shouldn’t have to actually restart the browser. There should be some way to refresh it (refresh, reload, or something like that — depending on which browser). On the version of Firefox I’m using, there’s an icon that looks like an arrow going in a circle. You can click on that to do a “partial” refresh and shift-click on it for a…[Read more]

Shutting down the browser updates it. I’ll follow your instructions to delete messages. Thank you.

Hmm … When I look at your account I see 19. It might be a matter of refreshing your browser? Not sure. Personally I think those notifications are kind of a pain. They never completely go away until you delete them. I generally go to the “notifications” tab on my profile every once in a while and select them all by clicking the checkbox at the…[Read more]

Those are GREAT answers, @Mike and @Wayne. I rarely understand something in higher mathematics that clearly.

I just posted Sunday’s video up at the top of this thread.

It’s basically a definition.

The vector space comes first and it has some set finite dimension. Say 3 dimensions like we are used to. Then every vector in that space is said to be three dimensional and can be represented by 3 numbers, its coordinates.

If you begin with a two dimensional space, like a white board or desk top, then all vectors in…[Read more]

Not exactly. There are an infinite number of possible vectors in a space. But all of them have the same dimension. Example: The space for a quantum bit is a complex, 2d space. That simply means that it contains vectors with two components — each of the two components is a complex number.

Hope that made sense.

It’s hard to know what’s going on there. I guess we forgot to start the video at the beginning. It’s possible that it’s just something I wrote simply to provide an example on the fly.
Remind me to start the video this Sunday!

I don’t see a problem on either sheet that the video seems to correspond to.

That aside, it’s nice to have these exercises as a way of gauging our abilities.

I’m not actually sure, but it looks like these were given out on the previous (June 7th) session (assuming I’m parsing things right.) Take a look at these two:

http://github.physicscafe.org/2020-QI-Series/Problems-Change-Basis.pdf

http://github.physicscafe.org/2020-QI-Series/Problems-Change-Basis-Complex.pdf

I’m looking at the video from June 14th. It starts with Mike in the middle of working a problem, but it doesn’t look like it corresponds to any of the 8 problems from the Notes pages 34-35 (Notes generated June 15 2020). Can anyone orient me as to what is being worked on?

And here’s the video. Sorry I forgot to start recording at the beginning!