April 2022
Beginner to intermediate
252 pages
5h 43m
English
Content preview from Essential Mathematics for Quantum Computing
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Chapter 8: Our Space in the Universe
Our space in the universe is called a Hilbert space. A Hilbert space is a type of vector space that has certain properties – properties that we will develop in this chapter. The most important will be defining an inner product. Once this is done, we will be able to measure distance and angles between vectors in an n-dimensional complex space. We will also be able to measure the length of vectors in these spaces. Later in the chapter, we will look at putting these Hilbert spaces together into even bigger Hilbert spaces through the tensor product!
The other main topic of this chapter is linear operators. We will go through many types, showing the distinct properties of each.
In this chapter, we are going to ...
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O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.