Classification of two-particle quantum channels of information transfer

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Classification of states of two-particle quantum channels of information transfer is built on the basis of irreducible representations of qubit state space group of symmetry and properties of density matrix spectrum. It is shown that the reason of state disentanglement can be in degeneration of non-zero density matrix eigenvalues. Among the states with non-degenerate density matrix disentangled states form two-dimensional surface of special states.
To appear in Bulletin of the University of Kiev. Series: Physics & Mathematics (translated from Ukrainian). Extended version of quant-ph/0702043

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