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Механика. Динамика

Quantum Fourier Transform

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Lambert M. S.    
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The quantum Fourier transform is a part of many quantum algorithms, notably Shor' s algorithm for factoring and computing the discrete logarithm, the quantum phase estimation algorithm for estimating the eigenvalues of a unitary operator, and algorithms for the hidden subgroup problem. The quantum Fourier transform can be performed efficiently on a quantum computer, with a particular decomposition into a product of simpler unitary matrices. Using a simple decomposition, the discrete Fourier transform can be implemented as a quantum circuit consisting of only O(n2) Hadamard gates and controlled phase shift gates, where n is the number of qubits. In quantum computing, the quantum Fourier transform is a linear transformation on quantum bits, and is the quantum analogue of the discrete Fourier transform. High Quality Content by WIKIPEDIA articles!
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Анализ Фурье
Жан-Батист Жозеф ФУРЬЕ Jea -Bap is e Joseph Fourier, 1768–1830 Французский математик. Родился в Осере; в возрасте девяти лет остался сиротой. Уже в юном возрасте проявил способности к математике. Фурье получил образование в церковной школе и военном училище, затем работал преподавателем математики. На протяжении всей жизни активно занимался политикой; был арестован в 1794 году за защиту жертв террора. После смерти Робеспьера был выпущен из тюрьмы; принимал участие в создании знаменитой Политехнической школы (Ecole Poly ech ique) в Париже; его положение послужило ему плацдармом для продвижения при режиме Наполеона. Сопровождал Наполеона в Египет, был назначен губернатором Нижнего Египта. По возвращении во Францию в 1801 году был назначен губернатором одной из провинций. В 1822 году стал постоянным секретарем Французской академии наук — влиятельная должность в научном мире Франции. Список литературы

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