Algorithms
Simon’s Algorithm
Last Updated: April 2, 2025What is Simon’s algorithm? Simon’s algorithm is a quantum algorithm that solves a problem related to finding periodicity in functions. It provides an exponential speedup over the best-known classical algorithms for the same problem and has applications in cryptography and computer science theory. Simon’s algorithm works by implementing an unknown function, f, using quantum...
Bernstein-Vazirani Algorithm
Last Updated: April 2, 2025What is the Bernstein-Vazirani algorithm? The Bernstein-Vazirani algorithm is a quantum algorithm that solves a similar problem to the classical problem addressed by the classical Bernstein-Vazirani algorithm. It’s a simple quantum algorithm, but it demonstrates the power of quantum parallelism. It is used to solve a specific type of problem known as the Bernstein-Vazirani problem....
Deutsch Function
Last Updated: April 2, 2025The Deutsch function is a fundamental concept in quantum computing that serves as a building block for more complex quantum algorithms. It is a two-qubit function that takes two input qubits (x and y) and returns a single output qubit (z). The function is defined as follows: Deutsch(x, y) = x XOR y, where XOR...
Deutsch-Jozsa Algorithm
Last Updated: April 2, 2025What is Deutsch-Jozsa Algorithm? The Deutsch-Jozsa algorithm is one of the earliest quantum algorithms discovered, and it demonstrates a quantum speedup over classical algorithms for a specific problem. The problem it solves is called the Deutsch-Jozsa problem, which is a black-box problem. This algorithm can determine if a function has a specific property, such...
Grover’s Algorithm(Search)
Last Updated: April 2, 2025What is Grover’s Algorithm(Search)? Grover’s algorithm provides a quadratic speedup over classical algorithms for unstructured search problems. It can be used to search an unsorted database of N items in roughly √N steps, compared to the linear time required by classical algorithms. Grover’s algorithm has applications in optimization, database search, and cryptography. We start...
Quantum Teleportation
Last Updated: April 2, 2025What is the Quantum Teleportation Algorithm? Quantum teleportation is a protocol that enables the transfer of the precise quantum state (the quantum information) of a particle from one location (sender, traditionally named Alice) to another (receiver, traditionally named Bob), even if they are physically separated, without physically moving the particle itself. This algorithm is...
Super Dense Coding
Last Updated: April 2, 2025What is a Super Dense Coding algorithm? Super dense coding is a quantum communication protocol that enables two parties to communicate classical information using a single qubit and a shared entangled pair of qubits. This protocol takes advantage of the properties of quantum entanglement and the principles of quantum mechanics to achieve efficient communication. Super...
Quantum Phase Estimation (QPE)
Last Updated: April 2, 2025What is Quantum Phase Estimation? Quantum Phase Estimation (QPE) is a fundamental algorithm in quantum computing used to estimate the phase of an eigenvector corresponding to an eigenvalue of a unitary operator. Let me break it down for you: Quantum mechanics involves the use of unitary operators to transform quantum states while preserving their...
Quantum Fourier Transform (QFT)
Last Updated: April 2, 2025The Quantum Fourier Transform (QFT) is a fundamental quantum algorithm used in various other quantum algorithms. While QFT is employed in Shor’s algorithm and other quantum algorithms for its ability to transform between time and frequency domains efficiently. QFT transforms quantum states from one basis to another, specifically between the computational (Z) and Fourier basis....
Shor’s Algorithm
Last Updated: April 2, 2025What is Shor’s Algorithm?? Shor’s algorithm is a quantum algorithm that can be used to factor integers. It efficiently factors large semi prime numbers into their prime factors, a task that is believed to be classically hard and forms the basis of modern cryptographic schemes like RSA. Shor’s algorithm demonstrates the quantum computer’s potential...
Quantum Walks Algorithm(1D)
Last Updated: April 2, 2025Quantum walks are quantum analogs of classical random walks. In a classical random walk, a particle moves randomly through a graph or lattice, making probabilistic choices at each step. In a quantum walk, the particle’s position is described by a quantum state, allowing it to be in a superposition of multiple locations simultaneously. Presented here...
Variational Quantum Eigensolver (VQE)
Last Updated: April 23, 2025VQE is a hybrid quantum-classical algorithm designed to estimate the expectation value of the Hamiltonian, which corresponds to the ground state energy of a quantum system. In essence, it combines the power of quantum devices to explore the energy landscape of a molecule or material with the computational efficiency of classical algorithms to optimize the...
Harrow-Hassidim-Lloyd(HHL) Algorithm
Last Updated: April 22, 2025The Harrow-Hassidim-Lloyd (HHL) algorithm is a quantum algorithm designed to solve linear systems of equations of the form Ax = b. HHL offers an exponential speedup in the matrix dimension N over classical methods, provided the matrix is well-conditioned, sparse, and Hermitian, and the goal is obtaining properties of x from the state |x⟩, not...