quantum algorithm wikipedia - EAS

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  1. In quantum computing, a quantum algorithm is an algorithm which runs on a realistic model of quantum computation, the most commonly used model being the quantum circuit model of computation. A classical (or non-quantum) algorithm is a finite sequence of instructions, or a step-by-step procedure for solving a problem, where each step or instruction can be performed on a classical computer.
    en.wikipedia.org/wiki/Quantum_algorithm
    en.wikipedia.org/wiki/Quantum_algorithm
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    What is a quantum algorithm?Algorithms run on quantum computers, typically relying on superposition and/or entanglement. In quantum computing, a quantum algorithm is an algorithm which runs on a realistic model of quantum computation, the most commonly used model being the quantum circuit model of computation.
    en.wikipedia.org/wiki/Quantum_algorithm
    What is Shor's quantum algorithm?The quantum algorithm is used for finding the period of randomly chosen elements , as this is a difficult problem on a classical computer. Shor's algorithm consists of two parts: A reduction, which can be done on a classical computer, of the factoring problem to the problem of order -finding. A quantum algorithm to solve the order-finding problem.
    en.wikipedia.org/wiki/Shor%27s_algorithm
    Why do we need Grover's search algorithm for quantum computing?As for quantum computing, the ability to perform quantum counting efficiently is needed in order to use Grover's search algorithm (because running Grover's search algorithm requires knowing how many solutions exist). Moreover, this algorithm solves the quantum existence problem (namely, deciding whether any solution exists) as a special case.
    en.wikipedia.org/wiki/Quantum_counting_algorithm
    What is the first part of the quantum factoring algorithm?The first part of the algorithm turns the factoring problem into the problem of finding the period of a function and may be implemented classically. The second part finds the period using the quantum Fourier transform and is responsible for the quantum speedup. . The size of this group is given by
    en.wikipedia.org/wiki/Shor%27s_algorithm
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    https://en.wikipedia.org/wiki/Quantum_algorithm

    In quantum computing, a quantum algorithm is an algorithm which runs on a realistic model of quantum computation, the most commonly used model being the quantum circuit model of computation. A classical (or non-quantum) algorithm is a finite sequence of instructions, or a step-by-step procedure … See more

    Quantum algorithms are usually described, in the commonly used circuit model of quantum computation, by a quantum circuit which acts on some input qubits and terminates with a measurement. A quantum circuit … See more

    The quantum Fourier transform is the quantum analogue of the discrete Fourier transform, and is used in several quantum algorithms. The See more

    A quantum walk is the quantum analogue of a classical random walk, which can be described by a probability distribution over some states. A quantum walk can be described by a See more

    Hybrid Quantum/Classical Algorithms combine quantum state preparation and measurement with classical optimization. These algorithms generally aim to determine the ground state eigenvector and eigenvalue of a Hermitian Operator.
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    Algorithms based on the quantum Fourier transform image

    Amplitude amplification is a technique that allows the amplification of a chosen subspace of a quantum state. Applications of amplitude … See more

    The complexity class BQP (bounded-error quantum polynomial time) is the set of decision problems solvable by a quantum computer See more

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  4. https://en.wikipedia.org/wiki/Quantum_optimization_algorithms

    Quantum optimization algorithms are quantum algorithms that are used to solve optimization problems. Mathematical optimization deals with finding the best solution to a problem (according to some criteria) from a set of possible solutions. Mostly, the optimization problem is formulated as a minimization problem, where one tries to minimize an error which depends on the solution: the optimal solution has the minimal error. Different optimization techniques are applied in various fi…

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    • Quantum algorithm for linear systems of equations - Wikipedia

      https://en.wikipedia.org/wiki/Quantum_algorithm...
      • The quantum algorithm for linear systems of equations, also called HHL algorithm, designed by Aram Harrow, Avinatan Hassidim, and Seth Lloyd, is a quantum algorithm published in 2008 for solving linear systems. The algorithm estimates the result of a scalar measurement on the solution vector to a given linear system of equations. The algorithm is o...
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        What is the quantum algorithm?
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      • https://en.wikipedia.org/wiki/Quantum_counting_algorithm
        • Quantum counting algorithm is a quantum algorithm for efficiently counting the number of solutions for a given search problem. The algorithm is based on the quantum phase estimation algorithm and on Grover's search algorithm. Counting problems are common in diverse fields such as statistical estimation, statistical physics, networking, etc. As for ...
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