Titlebook: Concise Guide to Quantum Computing; Algorithms, Exercise Sergei Kurgalin,Sergei Borzunov Textbook 2021 The Editor(s) (if applicable) and Th

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Quantum Fourier Transform,rm is one of the central methods of modern applied mathematics?[., .]. Consider a function .. Let .(.) be absolutely integrable on its domain of definition, that is .. The . of the function .(.) is determined by the relation .Function .(.) is called an . of the original function .(.). . Traditionall

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Phase Evaluation Algorithm,. is an eigenvalue, which needs to be defined. Due to the unitarity of ., the equality . is fulfilled, and therefore the eigenvalue can be represented as ., where . is a real number (as it is said, the .) satisfies the condition .. Let the bit representation of the value . is finite: .In the phase e

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Basic Operations with Qubits,rators ., ., ..., . to one qubit is equivalent to the effect of some operator . in the form .Its matrix . is a product of matrices of ., ., .?[.]: .Such an operator . is called a . ., ., ..., .. Due to the noncommutativity of the matrix multiplication operation, the order in which quantum gates are applied is generally important.