September 2023
Intermediate to advanced
342 pages
8h 46m
English
Content preview from Quantum Computing Algorithms
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3
Math for Qubits and Quantum Gates
In the previous chapter, we examined the idea of a qubit with its elusive behavior and its probabilistic nature. That chapter mentioned states other than |0⟩, |1⟩, and a halfway state but doesn’t describe any details about such states.
To understand the full range of states a qubit can have, we need some math, and this chapter lays the mathematical groundwork. We’ll start this chapter by replacing the intuitive halfway terminology with numbers. We’ll show how those numbers apply to a qubit’s state. We will send qubits through quantum computer circuits and compute the outcome using matrices.
Using our tools to represent circuits with matrices, we will discover the kinds of operations that a circuit can perform. ...
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