You see it all, don’t you? You can see how everything is just a random rearrangement of particles in a vibrating superposition.
—Daniel Kwan and Daniel Scheinert, Everything Everywhere All at Once, 2022 [118]
In the previous two chapters, we’ve seen what quantum states look like and how we can modify them with quantum operators. We can now put these two ideas together. In this chapter, we’ll assemble a few operators to make our first quantum algorithm!
Generally, a quantum algorithm has three stages. First, we initialize one or more qubits to a known state. Second, we process or modify those qubits with operators. Third, ...
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