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Using the tool of unitary transformations of the extended receiver we performsimple operations with the non-diagonal elements of the initial sender'sdensity matrix after their transferring to the receiver. These operations arefollowing: turning some matrix elements to zero, rearranging the matrixelements and preparing their linear combinations with required coefficients. Wealso propose a protocol for solving a system of linear algebraic equations witha system of two equations as an example. Such operations are numericallysimulated on the basis of 42-node spin-1/2 chain with the two-qubit sender andreceiver.

Operations with elements of transferred density matrix via unitary transformations at receiver side