Quantum Algorithms

The following are the quantum algorithms −

Shor's Algorithm

This algorithm describes that quantum computers could solve problems exponentially faster than classical computers by using quantum superposition and entanglement. Shors Algorithm showed that certain types of problems, which were currently considered computationally infeasible, could be tackled more efficiently with quantum techniques.

Grover's Algorithm

Lov Grover introduced Grovers Algorithm in 1996, which provided a quadratic speedup for searching unsorted databases. Grovers Algorithm illustrated the potential of quantum computing to accelerate search processes and solve problems that involve searching through large amounts of data.

Quantum Fourier Transform (QFT)

The QFT is a quantum version of the classical discrete Fourier transform and is essential in several quantum algorithms, including Shors algorithm. It transforms a quantum state into a superposition of its frequency components, facilitating efficient quantum computation.

Simons Algorithm

Simon's problem is the first to prove that Quantum algorithms can solve problems much faster than any other classical computer.

This algorithm, although not providing much practical value on its own, inspired the Quantum Fourier Transforms in Shor’s algorithm, one of the most famous quantum algorithms of all time.

Though the algorithm does not have much practical value, inspired the QFT(Quantum Fourier Transforms) in Shor's algorithm, which is considered the most popular algorithm of all time.

Bernstein-Vazirani Algorithm

In 1992, Ethan Bernstein and Umesh Vazirani invented the Bernstein-Vazirani Algorithm.

For example, if we are given a hidden box that contains a secret number. And that secret number consists of 6 bits each made up of zeroes and ones. Now if we are asked to figure out what the secret number would be?

A classical computer could find the secret number by calculating the function n times, where x = 2^i and i will be the summation of 0, 1, 2, 3, .... n-1.

But by running the Bernstein - Vazirani algorithm on the quantum computer we can find out the secret number in a single try. No matter how big it is.

Deutsch-Jozsa Algorithm

In the year 1992, David Deutsch and Richard Jozsa invented the Deutsch-Jozsa Algorithm. It describes how fast the quantum algorithms are when compared with any other classical computers and supercomputers.

The Deutsch-Jozsa problem involves a hidden boolean function, where it inputs a string of bits, and it will only return either 0 or 1. This algorithm gives the solution in a way that is always right with only a single function. There is not much practical use but it's specially to make quantum computing easy.