Quantum Walks on Graphs
1. Introduction In classical computation, random walks on graphs are a powerful tool used in algorithms, search, and probability theory. They form the backbone of important applications in web page….
Tag: quantum speedup
Quantum Walk Algorithms
Quantum Walk Algorithms are quantum versions of random walks, which are processes that involve taking steps from one point to another in a randomized way — like flipping a coin….
Simon’s Algorithm
Simon’s Algorithm is a quantum algorithm that solves a very specific type of problem exponentially faster than any classical algorithm can. It was proposed by Daniel Simon in 1994 and….
Quantum Fourier Transform
1. What Is the Fourier Transform (Intuition First)? Before diving into the quantum version, let’s first understand the basic idea of a Fourier Transform. Imagine you’re listening to music. Although….
Grover’s Search Algorithm
1. What Problem Does Grover’s Algorithm Solve? Imagine you have a locked box with 1 million keys. Only one key opens it, but they all look identical. On a classical….
Quantum Complexity Theory
1. What Is Complexity Theory? Before we jump into quantum-specific ideas, let’s understand what complexity theory is in general. Complexity theory is the field of computer science that studies: This….
Quantum Algorithms
1. What is a Quantum Algorithm? A quantum algorithm is a set of instructions designed to run on a quantum computer — using the unique principles of quantum mechanics like….