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Three different levels of noisy quantum schemes modeling are considered:vectors, density matrices and Choi-Jamiolkowski related states. Theimplementations for personal computers and supercomputers are described, andthe corresponding results are shown. For the level of density matrices, wepresent the technique of the fixed rank approximation and show some analyticalestimates of the fidelity level.

Numerical and analytical research of the impact of decoherence on quantum circuits