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  • Book Overview & Buying Dancing with Qubits
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Dancing with Qubits

Dancing with Qubits

By : Robert S. Sutor
4.4 (47)
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Dancing with Qubits

Dancing with Qubits

4.4 (47)
By: Robert S. Sutor

Overview of this book

Quantum computing is making us change the way we think about computers. Quantum bits, a.k.a. qubits, can make it possible to solve problems that would otherwise be intractable with current computing technology. Dancing with Qubits is a quantum computing textbook that starts with an overview of why quantum computing is so different from classical computing and describes several industry use cases where it can have a major impact. From there it moves on to a fuller description of classical computing and the mathematical underpinnings necessary to understand such concepts as superposition, entanglement, and interference. Next up is circuits and algorithms, both basic and more sophisticated. It then nicely moves on to provide a survey of the physics and engineering ideas behind how quantum computing hardware is built. Finally, the book looks to the future and gives you guidance on understanding how further developments will affect you. Really understanding quantum computing requires a lot of math, and this book doesn't shy away from the necessary math concepts you'll need. Each topic is introduced and explained thoroughly, in clear English with helpful examples.
Table of Contents (16 chapters)
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Preface
13
Afterword

5.12 Homomorphisms

When functions operate on collections with algebraic structure, we usually require additional properties to be preserved. We can now redefine linear maps and transformations of vector spaces in terms of these functions, called homomorphisms. homomorphism

5.12.1 Group homomorphisms

Suppose (G, ★) and (H, •) are groups, which we first explored in section 3.6.1. The function f : GH is a group homomorphism if for any two elements a and b in G, homomorphism$group group$homomorphism

Displayed math

This means that f is not just a function, but it preserves the operations of the groups.

We have the following properties for group homomorphisms:

  • f (idG) = f (idGidG) = f (idG) • f (idG), which means f (idG) = idH.
  • idH = f (idG) = f (aa–1) = f (a) • f (a–...
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Tech Concepts
36
Programming languages
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Dancing with Qubits
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