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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!

Here’s a picture of the “summary” on the board:

Yes, that seems to fix it.

Try changing to disallowed_keys.

Yes!

Maybe a reply as jdoe will do it.

Mike: Just wanted to let you know I got the zipped jupyter files you sent. I’ve been updating my python-related stuff in the CLI and will start on the notebooks likely tomorrow. Thank you. Looking forward to Sunday’s meeting.