Quantum Search Algorithms and Quantum Computing
We will now discuss a very intriguing quantum algorithm that demonstrates how powerful quantum search could be on an unstructured dataset.
Grover’s algorithm has potentially many applications, ranging from cryptography to artificial intelligence. In cryptography, it could, theoretically, perhaps in the future, be used to break the symmetric keys of AES or SHA using a large-scale quantum computer. Its principal limitation is that it can only provide a quadratic speedup and not an exponential speedup. So, we can only consider Grover’s algorithm to be an early algorithm in the era of quantum computing. I am confident that in the future, a more efficient quantum searching algorithm will be discovered that will improve quantum search’s disruptive power to devastate classical cryptography.
In this chapter, we will cover the following topics:
- An overview of Grover’s algorithm
- Classical information...
