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For combinatorial optimization, the quantum approximate optimization algorithm (QAOA) [6] briefly had a better approximation ratio than any known polynomial time classical algorithm (for a certain problem), [7] until a more effective classical algorithm was proposed. [8] The relative speed-up of the quantum algorithm is an open research question.
Quantum computers are capable of manipulating high-dimensional vectors using tensor product spaces and thus are well-suited platforms for machine learning algorithms. [21] The quantum algorithm for linear systems of equations has been applied to a support vector machine, which is an optimized linear or non-linear binary classifier.
In quantum computing, a quantum algorithm is an algorithm that runs on a realistic model of quantum computation, the most commonly used model being the quantum circuit model of computation. [ 1 ] [ 2 ] 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 ...
Bose–Einstein condensate-based quantum computer [27] [28] Transistor-based quantum computer (string quantum computers with entrainment of positive holes using an electrostatic trap) Rare-earth-metal-ion-doped inorganic crystal based quantum computer [29] [30] (qubit realized by the internal electronic state of dopants in optical fibers)
Quantum computing stocks have emerged as one of 2024's hottest investment themes, with the Defiance Quantum ETF (NASDAQ: QTUM) soaring 49.4% year to date, nearly doubling the S&P 500's robust 24.3 ...
Quantinuum's full Quantum Monte Carlo Integration engine is designed to use quantum algorithms to perform estimations more efficiently and accurately than equivalent classical tools, inferring an early-stage quantum advantage in areas such as derivative pricing, portfolio risk calculations and regulatory reporting.
Quantum annealing; Quantum artificial life; Quantum counting algorithm; Quantum Fourier transform; Quantum optimization algorithms; Quantum phase estimation algorithm; Quantum singular value transformation; Quantum sort; Quantum walk; Quantum walk search
Neuromorphic quantum computing (abbreviated as ‘n.quantum computing’) is an unconventional computing type of computing that uses neuromorphic computing to perform quantum operations. It was suggested that quantum algorithms, which are algorithms that run on a realistic model of quantum computation, can be computed equally efficiently with ...