From the course: Quantum Computing Fundamentals

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Overview of vectors

Overview of vectors

From the course: Quantum Computing Fundamentals

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Overview of vectors

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- We've reached the point in this course where we'll need to start using math to describe what's happening in our quantum circuits. In case you're not familiar with basic linear algebra and how to work with vectors and complex numbers, this video and the next one will give you a quick overview of the basic concepts you'll need to get started. In this video, we'll start with how to define a vector and visualize it on a graph using Cartesian coordinates. Then we'll look at how to calculate the magnitude of a vector, scale it, and normalize it to a unit length of one. We'll see several common vector operations, including addition, transpose, and inner product. And finally, we'll explore the concept of an orthonormal basis and what it means for two vectors to be linearly independent. If you already understand those topics, feel free to skip over the rest of this video. In mathematics, a vector is a set of values that represent a…

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