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We study the problem of remote one-qubit mixed state creation using a pureinitial state of two-qubit sender and spin-1/2 chain as a connecting line. Weexpress the parameters of creatable states in terms of transition amplitudes.We show that the creation of complete receiver's state-space can be achievedonly in the chain engineered for the one-qubit perfect state transfer (PST)(for instance, in the fully engineered Ekert chain), the chain can bearbitrarily long in this case. As for the homogeneous chain, the creatablereceiver's state region decreases quickly with the chain length. Bothhomogeneous chains and chains engineered for PST can be used for the purpose ofselective state creation, when only the restricted part of the whole receiver'sstate space is of interest. Among the parameters of the receiver's state, theeigenvalue is the most hard creatable one and therefore deserves the specialstudy. Regarding the homogeneous spin chain, an arbitrary eigenvalue can becreated only if the chain is of no more then 34 nodes. Alternating chain allowsus to increase this length up to 68 nodes.

Remote one-qubit state control by pure initial state of two-qubit sender. Selective-region- and eigenvalue-creation