September 2005
Beginner to intermediate
384 pages
6h 44m
English
Content preview from Quantum Approach to InformaticsBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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.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.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.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.
CHAPTER 4
QUANTUM COMPUTING
4.1 LOGIC OPERATIONS
4.1.1 Classical Logic Operations
Classical logic can be introduced in several ways. In philosophical discourse one usually introduces the truth value of a proposition by utilizing a variable taking the two values false and true. In algebraic terms, the former is usually denoted by o and the latter by 1; this is obviously highly useful in representing digital information in binary form. In this context the variable is, of course, the standard bit of information.
Functions defined on the set of values {0, 1} are called logical functions, and the ensuing algebra is called a Boolean algebra. There are three basic logical functions, which have been given the names NOT, OR, and AND. The first one operates on a single input bit, whereas the other two operate on two input bits. They are denoted by
The functional dependence of the logical functions are represented in truth tables, which list the inputs to the left and the result of applying the function at the right. Thus we obtain
The truth functions defined by these tables also have a set-theoretic ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Read now
Unlock full access
More than 5,000 organizations count on O’Reilly
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.