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The Turing machine; binary system and Boolean algebra; the quantum computer; the discrete Fourier transform; quantum factorization of integers; logic gates; implementation of logic gates using transistors; reversible logic gates; quantum logic gates; tow and three Qubit quantum logic gates; on-Qubit rotation; Aj transformation; Bjk transformation; unitary transformations and quantum dynamics; quantum dynamics at finite temperature; physical realization of quantum computations; Control-Not gate in an ion trap; Aj and Bjk gates in an ion trap; linear chains of nuclear spins; digital gates in a spin chain; nonresonant action of pi-pulses; experimental logic gates in quantum systems - achievements and opportunities; error correction for quantum gates in a two-spin system; quantum logic gates in a spin ensemble at room temperature; evolution of an ensemble of four-spin molecules; how to get the desired density matrix?
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