Универсальный неголономный контроль квантовой системы на полугруппе в конечномерном гильбертовом пространстве

Abstract: We analyze the possibility and efficiency of non-holonomic control over quantum devices with an exponentially large number of Hilbert space dimensions. We show that completely controllable devices of this type can be assembled from elementary units of arbitrary physical nature, and can be employed efficiently for universal quantum computations and simulation of quantum-field dynamics. As an example we describe a toy device that can perform Toffoli-gate transformations and discrete Fourier transform on 9 qubits.