Congratulations! In this module, you've learned a lot about Grover's search algorithm - one of the most widely studied algorithms in quantum computing - and the steps necessary to apply it to a real-world problem.
- The first step is figuring out how to check whether a given set of values is a solution to the problem.
- Reversible computing techniques allow you to implement classical computations on a quantum computer.
- Grover's algorithm uses quadratically fewer function evaluations compared to an exhaustive classical search.
- Implementing Grover's algorithm and the oracle for the graph coloring problem in Q# provided plenty of practice in quantum programming! You learned multiple language features that make expressing quantum algorithms in Q# compact and readable, such as the specialized control flow structures
within ... applyand
repeat ... until, and the ability to pass operations as parameters to other operations.
- Using Grover's algorithm for solving practical problems is an open research topic. It includes methods for efficient implementation of quantum oracles, as well as identifying problems that can demonstrate a practical speedup.
- Deep dive into the implementation details of Grover's search algorithm.
- Continue exploring the behavior of Grover's search algorithm in this hands-on tutorial.
- Learn to solve Boolean satisfiability problems using the search algorithm.
- Deep dive into solving graph coloring problems using the search algorithm.
- "Is quantum search practical" paper by Viamontes, Markov, and Hayes offers a great discussion of the practicality of Grover's search algorithm.