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Dancing with Qubits

You're reading from   Dancing with Qubits How quantum computing works and how it can change the world

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Product type Paperback
Published in Nov 2019
Publisher Packt
ISBN-13 9781838827366
Length 516 pages
Edition 1st Edition
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Author (1):
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Robert S. Sutor Robert S. Sutor
Author Profile Icon Robert S. Sutor
Robert S. Sutor
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Table of Contents (16) Chapters Close

Preface
1 Why Quantum Computing? FREE CHAPTER 2 They’re Not Old, They’re Classics 3 More Numbers than You Can Imagine 4 Planes and Circles and Spheres, Oh My 5 Dimensions 6 What Do You Mean ‘‘Probably’’? 7 One Qubit 8 Two Qubits, Three 9 Wiring Up the Circuits 10 From Circuits to Algorithms 11 Getting Physical 12 Questions about the Future Afterword
Other Books You May Enjoy Appendices

8
Two Qubits, Three

Not only is the Universe stranger than we think,
it is stranger than we can think.

Werner Heisenberg [2]

In the previous chapter we defined qubits and saw what we could do with just one of them. Things now start to get exponential with every additional qubit added, because entanglement allows the size of the working state space to double.

This chapter is about seeing how multiple qubits can behave together and then building a collection of tools to manipulate those qubits. These include the concept of entanglement, which is a requirement to do quantum computing. We also examine important 2-qubit gates like CNOT and SWAP. This will lead us into chapter 9

All vector spaces considered in this chapter are over C, the field of complex numbers introduced in section 3.9

Topics covered in this chapter

8.1 Tensor products
8.2 Entanglement
8.2.1 Moving from one to two...
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