Quantum Search and Amplitude Amplification: A Comprehensive Guide
1. Introduction to Quantum Oracles and Search
Quantum computing offers unique solutions to computational problems, especially in search and probability estimation. Quantum oracles play a crucial role in identifying specific outcomes, which we refer to as “good” outcomes. There are two main types of quantum oracles:
- Phase oracles : Rotate the amplitudes of the good outcomes by 180 degrees.
- Bit oracles : Entangle outcomes with an additional qubit so that the good ones are associated with its measurement of 1 and the bad ones with its measurement of 0.
We can also convert between bit oracles and phase oracles.
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